Riesz transform, Gaussian bounds and the method of wave equation

Adam Sikora

Type: Article

Publication Date: 2004-02-17

Citations: 186

DOI: https://doi.org/10.1007/s00209-003-0639-3

View Publication

Download PDF

Locations

Mathematische Zeitschrift - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Riesz transform, Gaussian bounds and the method of wave equation	2003	Adam Sikora
+	Dimension Free Estimates for the Riesz Transforms Associated with some Fractional Operators	2020	Benjamin Arras Christian Houdré
+	Weak $(1,1)$ Boundedness of Riesz Transforms on Vector Bundles	2018	Huaiqian Li
+ PDF Chat	HEAT KERNEL AND RIESZ TRANSFORM OF SCHRODINGER OPERATORS	2015	Baptiste Devyver
+	Sharp endpoint $L^p$ estimates for Schrödinger groups	2018	Peng Chen Xuan Thinh Duong Ji Li Lixin Yan
+	Classes of weights and second order Riesz transforms associated to Schrödinger operators	2016	Fu Ken Ly
+ PDF Chat	Dimension-free estimates for positivity-preserving Riesz transforms related to Schr\"odinger operators with certain potentials	2024	Maciej Kucharski
+ PDF Chat	Heat kernel and Riesz transform of Schrödinger operators	2019	Baptiste Devyver
+	Dimension free estimates for Riesz transforms of some Schrödinger operators	2009	Roman Urban Jacek Zienkiewicz
+ PDF Chat	Boundedness Estimates for Commutators of Riesz Transforms Related to Schrödinger Operators	2018	Yueshan Wang Yuexiang He
+	Estimates for the Riesz transforms associated with Schrödinger type operators	2022	Yanhui Wang
+	ESTIMATES FOR RIESZ TRANSFORMS ASSOCIATED WITH SCHRÖDINGER TYPE OPERATORS	2019	Yueshan Wang
+	Heat kernels and Riesz transforms on nilpotent Lie groups	1996	A. F. M. ter Elst Derek W. Robinson Adam Sikora
+ PDF Chat	Generalized Gaussian estimates and riesz means of Schrödinger groups	2007	Sönke Blunck
+ PDF Chat	Weights of exponential growth and decay for Schrödinger-type operators	2021	Julian Bailey
+	Spectral multiplier theorems via $H^\infty$ calculus and $R$-bounds	2016	Christoph Kriegler Lutz Weis
+ PDF Chat	Universal Bounds and Semiclassical Estimates for Eigenvalues of Abstract Schrödinger Operators	2010	Evans M. Harrell Joachim Stubbe
+	Boundedness for Riesz Transforms Related to Schr?dinger Operators and Their Commutators on Weighted Morrey Spaces	2017	Yu Liu
+	On the dimensional weak-type $(1,1)$ bound for Riesz transforms	2020	Daniel Spector Cody B. Stockdale
+	The H p -Boundedness of the Riesz Means for the Eigenfunction Expansions for Elliptic Operators with Constant Coefficients	1994	Heping Liu Shanzhen Lu

Works That Cite This (175)

Action	Title	Year	Authors
+ PDF Chat	Analysis of degenerate elliptic operators of Grušin type	2007	Derek W. Robinson Adam Sikora
+	Gaussian heat kernel bounds through elliptic Moser iteration	2016	Frédéric Bernicot Thierry Coulhon Dorothee Frey
+ PDF Chat	Gaussian heat kernel estimates: From functions to forms	2018	Thierry Coulhon Baptiste Devyver Adam Sikora
+ PDF Chat	Marcinkiewicz-Type Spectral Multipliers on Hardy and Lebesgue Spaces on Product Spaces of Homogeneous Type	2016	Peng Chen Xuan Thinh Duong Ji Li Lesley A. Ward Lixin Yan
+ PDF Chat	On Hardy and BMO Spaces for Grushin Operator	2015	Jacek Dziubański K. Jotsaroop
+	Second-order Riesz transforms associated with magnetic Schrödinger operators	2016	The Anh Bui Fu Ken Ly Sibei Yang
+ PDF Chat	Hardy spaces meet harmonic weights	2022	Marcin Preisner Adam Sikora Lixin Yan
+ PDF Chat	The Commutators of Bochner–Riesz Operators for Hermite Operator	2023	Peng Chen Xixi Lin Lixin Yan
+ PDF Chat	Exponential-Square Integrability, Weighted Inequalities for the Square Functions Associated to Operators, and Applications	2019	Peng Chen Xuan Thinh Duong Liangchuan Wu Lixin Yan
+ PDF Chat	Some remarks on gradient estimates for heat kernels	2006	Nick Dungey

Works Cited by This (41)

Action	Title	Year	Authors
+	Propagation for the Wave Group of a Positive Subelliptic Second-Order Differential Operator	1986	Richard Melrose
+	The Riesz transforms associated with second order differential operators	1989	Dominique Bakry
+ PDF Chat	One-parameter Semigroups of Positive Operators	1986	Wolfgang Arendt Annette Grabosch Günther Greiner Ulrich Moustakas Rainer Nagel Ulf Schlotterbeck Ulrich Groh Heinrich P. Lotz Frank Neubrander
+	The analysis of linear partial differential operators	1990	Lars Hörmander
+	Review: W. Arendt, A. Grabosch, G. Greiner, U. Groh, H. P. Lotz, U. Moustakas, R. Nagel, F. Neubrander, and U. Schlotterbeck, One-parameter semigroups of positive operators	1987	Jerome A. Goldstein
+	Introduction to Fourier Analysis on Euclidean Spaces.	1971	Elias M. Stein Guido Weiss
+ PDF Chat	Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds	1982	Jeff Cheeger M. Gromov Michael E. Taylor
+	<i>Theory of Functions of a Complex Variable</i>	1966	A. I. Markushevich Richard A. Silverman J. Gillis
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy
+	Riesz transforms for	2001	Thierry Coulhon Xuan Thinh Duong