Sharp $$L^p$$ estimates of powers of the complex Riesz transform

Antonella Carbonaro, Oliver Dragičević, Vjekoslav Kovač

Type: Article

Publication Date: 2022-07-05

Citations: 1

DOI: https://doi.org/10.1007/s00208-022-02419-3

View Publication

Download PDF

Locations

Mathematische Annalen - View
arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	On the dimensional weak-type $(1,1)$ bound for Riesz transforms	2020	Daniel Spector Cody B. Stockdale
+ PDF Chat	$L^p(\mathbb{R}^n)$-dimension free estimates of the Riesz transforms	2023	José L. Torrea
+ PDF Chat	Sharp Logarithmic Bounds for Beurling-Ahlfors Operator Restricted to the Class of Radial Functions	2013	Adam Osȩkowski
+ PDF Chat	Sharp<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math>estimates for discrete second order Riesz transforms	2014	Komla Domelevo Stefanie Petermichl
+	On the dimensional weak-type $(1,1)$ bound for Riesz transforms	2020	Daniel Spector Cody B. Stockdale
+	Dimension-free $L^p$ estimates for vectors of Riesz transforms in the rational Dunkl setting	2021	Agnieszka Hejna
+	$$\mathrm {L}^p$$-Bounds for the $$\mathrm {H}^\infty $$-Calculus and Riesz Transform	2024	Sebastian Bechtel
+ PDF Chat	The sharp weighted bound for the Riesz transforms	2007	Stefanie Petermichl
+	Sharp estimates for imaginary powers of Bessel operators	2023	The Anh Bui Xuejing Huo Ji Li
+ PDF Chat	Dimension-free estimates for Riesz transforms related to the harmonic oscillator	2020	Maciej Kucharski
+ PDF Chat	Sharp weak type estimates for Riesz transforms	2014	Adam Osȩkowski
+	Dimension-free $L^p$ estimates for higher order maximal Riesz transforms in terms of the Riesz transforms	2023	Maciej Kucharski Błażej Wróbel Jacek Zienkiewicz
+ PDF Chat	Sharp inequalities for Riesz transforms	2014	Adam Osȩkowski
+	Sharp logarithmic inequalities for Riesz transforms	2012	Adam Osȩkowski
+ PDF Chat	A dimension-free estimate on $$L^2$$ for the maximal Riesz transform in terms of the Riesz transform	2022	Maciej Kucharski Błażej Wróbel
+	Sharp <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math> estimates for discrete second-order Riesz transforms	2014	Komla Domelevo Stefanie Petermichl
+	Two Weight Inequalities for Riesz Transforms	2013	Michael T. Lacey Brett D. Wick
+	Riesz transforms for p>2	2001	Thierry Coulhon Xuan Thinh Duong
+	Riesz transforms for p>2	2001	Thierry Coulhon Xuan Thinh Duong
+	Riesz transforms for p>2	2001	Thierry Coulhon Xuan Thinh Duong

Works That Cite This (1)

Action	Title	Year	Authors
+	Asymptotic behavior of 𝐿^{𝑝} estimates for a class of multipliers with homogeneous unimodular symbols	2022	Aleksandar Bulj Vjekoslav Kovač

Works Cited by This (21)

Action	Title	Year	Authors
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein
+	Classical Fourier Analysis	2014	Loukas Grafakos
+	Introduction to Fourier Analysis on Euclidean Spaces.	1971	Elias M. Stein Guido Weiss
+ PDF Chat	Lectures on Quasiconformal Mappings	2006	Lars V. Ahlfors
+	Riesz transforms and related singular integrals.	1996	Tadeusz Iwaniec Gaven Martin
+ PDF Chat	Extremal inequalities in Sobolev spaces and quasiconformal mappings	1982	Tadeusz Iwaniec
+ PDF Chat	Weighted estimates for powers of the Ahlfors-Beurling operator	2010	Oliver Dragičević
+ PDF Chat	A rotation method which gives linear <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msup></mml:math> estimates for powers of the Ahlfors–Beurling operator	2006	Oliver Dragičević Stefanie Petermichl Alexander Volberg
+ PDF Chat	Weak (1,1) boundedness of singular integrals with nonsmooth kernel	1988	Steve Hofmann
+	Weak type (1, 1) bounds for rough operators, II	1988	Michael Christ J.-L. Rubio de Francia