Logarithmic inequalities for second-order Riesz transforms and related Fourier multipliers

Adam Osȩkowski

Type: Article

Publication Date: 2013-01-01

Citations: 3

DOI: https://doi.org/10.4064/cm130-1-10

Abstract

We study logarithmic estimates for a class of Fourier multipliers which arise from a nonsymmetric modulation of jumps of Lévy processes. In particular, this leads to corresponding tight bounds for second-order Riesz transforms on $\mathbb{R}^d$.

Locations

Colloquium Mathematicum - View - PDF

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Works Cited by This (16)

Action	Title	Year	Authors
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein
+	Sharp inequalities for martingales with applications to the Beurling-Ahlfors and Riesz transforms	1995	Rodrigo Bañuelos Gang Wang
+ PDF Chat	Extremal inequalities in Sobolev spaces and quasiconformal mappings	1982	Tadeusz Iwaniec
+ PDF Chat	A sharp inequality for martingale transforms and the unconditional basis constant of a monotone basis in 𝐿^{𝑝}(0,1)	1992	Kichang Choi
+ PDF Chat	Differential Subordination and Strong Differential Subordination for Continuous-Time Martingales and Related Sharp Inequalities	1995	Gang Wang
+ PDF Chat	On singular integral and martingale transforms	2009	Stefan Geiß Stephen Montgomery-Smith Eero Saksman
+ PDF Chat	$L^p$--bounds for the Beurling--Ahlfors transform	2008	Rodrigo Bañuelos Prabhu Janakiraman
+	Space-time Brownian motion and the Beurling-Ahlfors transform	2003	Rodrigo Bañuelos Pedro J. Méndez-Hernández
+	Martingales and sharp bounds for Fourier multipliers	2012	Rodrigo Bañuelos Adam Osȩkowski
+	Sharp weak type inequalities for the Haar system and related estimates for nonsymmetric martingale transforms	2011	Adam Osȩkowski