SU\G(𝔸)/K·U
Mathematics › Applied Mathematics

Advanced Harmonic Analysis Research

Works Count: 31001

Description

This cluster of papers covers topics in harmonic analysis and operator theory, including Fourier multiplier theorems, Calderón–Zygmund theory, maximal operators, Hardy spaces, singular integrals, Morrey spaces, boundedness of operators, elliptic operators, weighted estimates, and various function spaces.

Keywords

Fourier Multiplier Theorems; Calderón–Zygmund Theory; Maximal Operators; Hardy Spaces; Singular Integrals; Morrey Spaces; Boundedness; Elliptic Operators; Weighted Estimates; Function Spaces

Most Cited Works

Action Title Date Authors
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Compensated compactness and Hardy spaces 1993-01-01 Ronald R. Coifman Pierre Louis Lions Yves Meyer Stephen Semmes
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Operator theory in function spaces 1991-07-01 Kehe Zhu
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On spaces $L^{p(x)}$ and $W^{k, p(x)}$ 1991-01-01 Ondrej Kováčik Jiří Rákosník
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Lectures on Elliptic and Parabolic Equations in Hölder Spaces 1996-09-03 N. Krylov
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Weighted norm inequalities for maximal functions and singular integrals 1974-01-01 Ronald R. Coifman Charles Fefferman
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Weighted Norm Inequalities and Related Topics 1985-01-01 José Garcı́a-Cuerva J.-L. Rubio de Francia
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Riesz Spaces II 1983-01-01 Adriaan C. Zaanen
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Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds 1982-01-01 Jeff Cheeger M. Gromov Michael E. Taylor
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Hardy's inequality with weights 1972-01-01 Benjamin Muckenhoupt
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Problèmes isopérimétriques et espaces de Sobolev 1976-01-01 Thierry Aubin
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Weighted norm inequalities for the Hardy maximal function 1972-01-01 Benjamin Muckenhoupt
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The local regularity of solutions of degenerate elliptic equations 1982-01-01 Eugene B. Fabes Carlos E. Kenig Raul Serapioni
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Hypoelliptic differential operators and nilpotent groups 1976-01-01 Linda Preiss Rothschild E. M. Stein
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Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities 2002-01-01 Élliott H. Lieb
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L2 estimates and existence theorems for the $\bar \partial $ operator 1965-01-01 Lars Hörmander
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Banach spaces related to integrable group representations and their atomic decompositions, I 1989-10-01 Hans G. Feichtinger Karlheinz Gröchenig
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Sharp Sobolev Inequalities on the Sphere and the Moser--Trudinger Inequality 1993-07-01 William Beckner
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Generalized gradients and applications 1975-01-01 Frank H. Clarke
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On functions of bounded mean oscillation 1961-08-01 Franklin John Louis Nirenberg
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Differentiability of Lipschitz Functions on Metric Measure Spaces 1999-08-01 Jeff Cheeger
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Hitchhikerʼs guide to the fractional Sobolev spaces 2011-12-30 Eleonora Di Nezza Giampiero Palatucci Enrico Valdinoci
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On Harnack's theorem for elliptic differential equations 1961-08-01 Jürgen Moser
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Subelliptic estimates and function spaces on nilpotent Lie groups 1975-12-01 Gerald B. Folland
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Distribution Function Inequalities for Martingales 1973-02-01 D. L. Burkholder
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Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group 1974-07-01 Gerald B. Folland E. M. Stein
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A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations 1960-08-01 Jürgen Moser
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Weighted norm inequalities for the conjugate function and Hilbert transform 1973-01-01 Richard A. Hunt Benjamin Muckenhoupt Richard L. Wheeden
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On Imbeddings into Orlicz Spaces and Some Applications 1967-01-01 Neil S. Trudinger
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A class of nonharmonic Fourier series 1952-01-01 R. J. Duffin A. C. Schaeffer
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On harnack type inequalities and their application to quasilinear elliptic equations 1967-11-01 Neil S. Trudinger
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On convergence and growth of partial sums of Fourier series 1966-01-01 Lennart Carleson
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Inequalities for strongly singular convolution operators 1970-01-01 Charles Fefferman
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The Lp-integrability of the partial derivatives of A quasiconformal mapping 1973-01-01 F. W. Gehring
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Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I 1959-11-01 Shmuel Agmon Avron Douglis Louis Nirenberg
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Local behavior of solutions of quasi-linear equations 1964-01-01 James Serrin
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Factorization Theorems for Hardy Spaces in Several Variables 1976-05-01 Ronald R. Coifman Richard Rochberg Guido Weiss
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Commutator estimates and the euler and navier‐stokes equations 1988-10-01 Tosio Kato Gustavo Ponce
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Operator–valued Fourier multiplier theorems and maximal $L_p$-regularity 2001-04-01 Lutz Weis
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Extensions of Hardy spaces and their use in analysis 1977-01-01 Ronald R. Coifman Guido Weiss
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Hp spaces of several variables 1972-01-01 Charles Fefferman E. M. Stein
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A discrete transform and decompositions of distribution spaces 1990-10-01 Michael Frazier Björn Jawerth
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Inequalities in Fourier Analysis 1975-07-01 William Beckner
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Endpoint Strichartz estimates 1998-10-01 M. Keel Terence Tao
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The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains 1994-01-01 Henri Berestycki Louis Nirenberg S. R. S. Varadhan
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A harnack inequality for parabolic differential equations 1964-02-01 Jürgen Moser
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Variable Lebesgue Spaces 2013-01-01 David Cruz-Uribe Alberto Fıorenza
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Lebesgue and Sobolev Spaces with Variable Exponents 2011-01-01 Lars Diening Petteri Harjulehto Peter Hästö Michael Růžička
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Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II 1964-02-01 Shmuel Agmon Avron Douglis Louis Nirenberg
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Theory of H[p] spaces 1970-01-01 Peter Duren
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Littlewood-Paley Theory and the Study of Function Spaces 1991-06-04 Michael Frazier Björn Jawerth Guido Weiss

Most Recent Works

Action Title Date Authors
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Boundary fractional Hardy's inequality in dimension one: the critical case 2025-04-17 Adimurthi Purbita Jana Prosenjit Roy
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Regularity of Characteristic Functions in Besov-Type and Triebel–Lizorkin-Type Spaces 2025-04-17 Wen Yuan Winfried Sickel Dachun Yang
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Fractional Hardy inequalities and capacity density 2025-04-18 Lizaveta Ihnatsyeva Kaushik Mohanta Antti V. Vähäkangas
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A closed range integral operator on Hardy spaces 2025-04-17 Fani Papageorgiou
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Weighted Turán Theorems With Applications to Ramsey‐Turán Type of Problems 2025-04-18 József Balogh Domagoj Bradač Bernard Lidický
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On the behavior of $$m-th$$ derivatives of polynomials in bounded and unbounded regions without zero angles in weighted Lebesgue spaces 2025-04-18 F. G. Аbdullayev M. Imashkyzy
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Weighted inequalities for sub-monotone functionals 2025-04-19 Амиран Гогатишвили Luboš Pick
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Smoothness in Orlicz–Lorentz spaces 2025-04-19 Di Wang Yongjin Li
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An endpoint estimate for the maximal Calderón commutator with rough kernel 2025-04-21 Guoen Hu Xudong Lai Xiangxing Tao Qingying Xue
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Lattice Lipschitz operators on $$C(K)-$$ spaces 2025-04-21 Roger Arnau J. M. Calabuig Enrique A. Sánchez‐Pérez
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Weighted Inequalities for t-Haar Multipliers 2025-04-22 Dae‐Won Chung Weiyan Huang Jean Carlo Moraes María Cristina Pereyra Brett D. Wick
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A Note on the Maximal Operator on Banach Function Spaces 2025-04-22 Andrei K. Lerner
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Boundedness of averaging operators in weighted variable exponent spaces of periodic functions 2025-04-22 O. L. Vinogradov
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Best constants in the vector-valued Littlewood–Paley–Stein theory 2025-04-22 Guixiang Hong Zhendong Xu Hao Zhang
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On the <i>L</i> <sup> <i>p</i> </sup>-boundedness of Calderón-Zygmund operators 2025-04-23 Dorina Mitrea Marius Mitrea
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Continuous sparse domination and dimensionless weighted estimates for the Bakry–Riesz vector 2025-04-24 Komla Domelevo Stefanie Petermichl Kristina Ana Škreb
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Factorizations and Power Weighted Rellich and Hardy–Rellich-Type Inequalities 2025-04-24 Fritz Gesztesy Michael M. H. Pang Jake Parmentier Jonathan Stanfill
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Rough Lacunary Ideal Statistical Convergence of Double Sequences on Random n$$ n $$‐Normed Spaces 2025-04-24 Reena Antal Rachit Manchanda R Manjunatha Nilesh Bhosle Jasgurpreet Singh Chohan P. Mallikarjuna Rao Umesh Bhardwaj R. P. Thakur Mohamed Yusuf
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Compact weighted composition operators on spaces of continuous functions of bounded variation 2025-04-24 Maliheh Hosseini
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Limiting Behavior of Minimizing p-Harmonic Maps in 3d as p Goes to 2 with Finite Fundamental Group 2025-04-24 Bohdan Bulanyi Jean Van Schaftingen Benoît Van Vaerenbergh
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Relative differential closure in Hardy fields 2025-04-24 Matthias Aschenbrenner Lou van den Dries Joris van der Hoeven
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Precompact sets in matrix weighted Lebesgue spaces with variable exponent 2025-04-25 Shengrong Wang Pengfei Guo Jingshi Xu
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Fefferman's Inequality in Weighted Morrey Spaces 2025-04-25 Nicky Kurnia Tumalun Philotheus E. A. Tuerah Derel F. Kaunang Marvel G. Maukar
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A scale of spaces of functions with integrable Fourier transform 2025-04-26 Elijah Liflyand
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A New Look at the Subrepresentation Formulas 2025-04-28 Cong Hoang Kabe Moen Carlos Pérez
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Restricted convergence of two-dimensional Nörlund means of Walsh–Fourier series 2025-04-28 Károly Nagy
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On an optimal problem of bilinear forms 2025-04-28 Naihuan Jing Yibo Liu Jiacheng Sun Chengrui Zhao Haoran Zhu
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The Assouad dimension of Kakeya sets in $\mathbb{R}^{3}$ 2025-04-28 Hong Wang Joshua Zahl
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Boundedness estimate for certain Calderón–Zygmund type singular integrals on $$\textrm{BMO}$$ spaces 2025-04-29 Yinping Xin Sibei Yang
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Constructive description of Hölder spaces on a chord-arc curve in ℝ³ 2025-04-29 T. Alekseeva N. A. Shirokov
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Weighted spaces of analytic functions with mixed-Fourier-norm and Toeplitz operators: a survey of recent advances 2025-04-30 Alexey Karapetyants Irina Yu. Smirnova
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Bounded $q$-variation Functions in Spaces with Indefinite Metric 2025-05-01 Oliver Villa Jos ́e Naranjo Mart ́ınez
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Existence of weak solutions to degenerate Leray–Lions operators in weighted quasilinear elliptic equations with variable exponents, indefinite nonlinearity, and Hardy-type term 2025-05-01 Khaled Kefi
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New endpoint estimates for commutators of multilinear operators 2025-05-01 Yichun Zhao Songbai Wang Jiang Zhou
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FEJÉR-RIESZ TYPE INEQUALITIES FOR WEIGHTED BERGMAN SPACES 2025-05-02 Kazuhiro Kasuga
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Convolution-type operators in grand Lorentz spaces 2025-05-04 Erlan Nursultanov Humberto Rafeiro Durvudkhan Suragan
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Aspect of invariant properties of Orlicz amalgam spaces with respect to Banach spaces 2025-05-04 Büşra Arıs Serap Öztop
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Rates of convergence in the distances of Kolmogorov and Wasserstein for standardized martingales 2025-05-01 Xiequan Fan Zhonggen Su
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Disjointly strictly singular and L-weakly compact inclusions between variable Lebesgue spaces 2025-05-01 Francisco L. Hernández César Ruiz Mauro Sanchiz
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ONCE AGAIN ABOUT WEAK UNIQUENESS FOR SDE WITH SINGULAR COEFFICIENTS 2025-05-05 Н. В. Крылов
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$$L^p$$-$$L^q$$ Hypergeometric Spectral and Fourier Multipliers Associated with Root Systems 2025-05-06 Vishvesh Kumar
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The molecular characterizations of variable Triebel-Lizorkin spaces associated with the Hermite operator and its applications 2025-05-01 Qi Sun Ciqiang Zhuo
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L maximal bounds and Sobolev regularity of two-parameter averages over tori 2025-05-06 Ju Young Lee Sanghyuk Lee
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Intermediate spaces on weak type discrete Morrey spaces 2025-05-05 Rizma Yudatama ‎Denny Ivanal Hakim
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Lusin approximation for functions of bounded variation 2025-05-08 Panu Lahti Khanh Ngoc Nguyen
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A weighted weak-type multilinear gradient inequality 2025-05-07 Víctor García García Pedro Ortega Salvador
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Розв'язність лінійних крайових задач для звичайних диференціальних систем у просторі $C^{n}$ 2025-05-07 Віталій Солдатов
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Weighted Variational Inequalities for Heat Semigroups Associated with Schrödinger Operators Related to Critical Radius Functions 2025-05-08 Yongming Wen Huoxiong Wu
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On the set of extreme points of the unit ball of a Hardy–Lorentz space 2025-05-09 С. В. Асташкин
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Dirichlet problems for elliptic Waldenfels operators and Feller semigroups 2025-05-11 Kazuaki Taira