Logarithmic inequalities for second-order Riesz transforms and related Fourier multipliers
Volume 130 / 2013
Colloquium Mathematicum 130 (2013), 103-126
MSC: Primary 42B15, 60G44; Secondary 42B20.
DOI: 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 $\mathbb{R}^d$.
