Representation of singular integrals by dyadic operators, and the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msub><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math>theorem

Tuomas Hytönen

Type: Article

Publication Date: 2016-10-07

Citations: 36

DOI: https://doi.org/10.1016/j.exmath.2016.09.003

View Publication

Locations

Expositiones Mathematicae - View
arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Wavelet Representation of Singular Integral Operators	2020	Francesco Di Plinio Brett D. Wick Tyler Williams
+ PDF Chat	A THEOREM ON WEIGHTED APPROXIMATION BY SINGULAR INTEGRAL OPERATORS	2018	Özge Özalp Güller Ertan İBİKLİ
+	A THEOREM ON WEIGHTED APPROXIMATION BY SINGULAR INTEGRAL OPERATORS	2018	GÜLLER Özge Özalp İBİKLİ
+ PDF Chat	Non-probabilistic proof of the A_2 theorem, and sharp weighted bounds for the q-variation of singular integrals	2012	Tuomas Hytönen Michael T. Lacey Carlos Pérez
+ PDF Chat	A probabilistic approach to the boundedness of singular integral operators	1990	Richard F. Bass
+	Weighted estimates of singular integrals and their applications	1985	E. M. Dyn’kin Б. П. Осиленкер
+ PDF Chat	A weighted norm inequality for singular integrals	1976	Antonio Cordóba Charles Fefferman
+	Singular integral operators in a weighted L2-space	1985	Stephen T. Welstead
+	Calderon–Zygmund singular integral estimates in generalized weighted function spaces	2020	Ahmed Loulit
+	Dyadic-probabilistic methods in bilinear analysis	2021	Henri Martikainen Emil Vuorinen
+	Boundedness criteria for singular integrals in weighted grand lebesgue spaces	2010	Vakhtang Kokilashvili
+	Quantitative Weighted Bounds for a Class of Singular Integral Operators	2019	Wenhua Gao Guoen Hu
+ PDF Chat	Boundedness of <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>p</mi> </math>-Adic Singular Integrals and Multilinear Commutator on Morrey-Herz Spaces	2023	Yanlong Shi Li Li Zhonghua Shen
+	Weighted estimates for singular integrals via Fourier transform estimates	1990	David K. Watson
+ PDF Chat	Weighted Inequalities and Dyadic Harmonic Analysis	2012	María Pereyra
+	Singular integral operators in weighted L2 spaces	1973	Yu. E. Khaikin
+	Dyadic-probabilistic methods in bilinear analysis	2016	Henri Martikainen Emil Vuorinen
+	Singular Integral Operators and Approximation by Wavelets	2003	Qixiang Yang
+ PDF Chat	Weak and strong $A_p$-$A_\infty $ estimates for square functions and related operators	2017	Tuomas Hytönen Kangwei Li
+	Weak and strong $A_p$-$A_\infty$ estimates for square functions and related operators	2015	Tuomas Hytönen Kangwei Li

Works That Cite This (36)

Action	Title	Year	Authors
+	Bilinear representation theorem	2018	Kangwei Li Henri Martikainen Yumeng Ou Emil Vuorinen
+	Bilinear Calderón–Zygmund theory on product spaces	2019	Kangwei Li Henri Martikainen Emil Vuorinen
+ PDF Chat	Off-Diagonal Estimates for Bi-Commutators	2021	Emil Airta Tuomas Hytönen Kangwei Li Henri Martikainen Tuomas Oikari
+ PDF Chat	Multilinear dyadic operators and their commutators	2016	Ishwari Kunwar
+	A Note On $\ell^r$-Valued Calderon-Zygmund Operators	2012	James Scurry
+ PDF Chat	On an estimate of Calderón-Zygmund operators by dyadic positive operators	2013	Andrei K. Lerner
+	Non-homogeneous T1 theorem for bi-parameter singular integrals	2012	Tuomas Hytönen Henri Martikainen
+	Representation of bi-parameter singular integrals by dyadic operators	2011	Henri Martikainen
+ PDF Chat	Operator-valued dyadic shifts and the T(1) theorem	2016	Timo S. Hänninen Tuomas Hytönen
+	Positive operators and maximal operators in a filtered measure space	2012	Hitoshi Tanaka Yutaka Terasawa

Works Cited by This (53)

Action	Title	Year	Authors
+ PDF Chat	An extrapolation theorem in the theory of 𝐴_{𝑝} weights	1983	José Garcı́a-Cuerva
+	Weighted estimates for singular integrals via Fourier transform estimates	1990	David K. Watson
+ PDF Chat	Commutators in the two-weight setting	2016	Irina Holmes Michael T. Lacey Brett D. Wick
+ PDF Chat	Sharp weighted bounds for the <i>q</i> -variation of singular integrals	2013	Tuomas Hytönen Michael T. Lacey Carlos Pérez
+	Upper Bound for Multi-parameter Iterated Commutators	2014	Laurent Dalenc Yumeng Ou
+ PDF Chat	Sharp weighted bounds involving<i>A</i><sub>∞</sub>	2013	Tuomas Hytönen Carlos Pérez
+	Two Weight Inequalities for Discrete Positive Operators	2009	Michael T. Lacey Eric T. Sawyer Ignacio Uriarte-Tuero
+	Sharp $A_2$ estimates of Haar shifts via Bellman function	2011	Sergei Treil
+	On $A_2$ conjecture and corona decomposition of weights	2010	Carlos Pérez Sergei Treil Alexander Volberg
+ PDF Chat	Sharp estimate of the Ahlfors-Beurling operator via averaging martingale transforms	2003	Oliver Dragičević Alexander Volberg