# Wydawnictwa / Czasopisma IMPAN / Colloquium Mathematicum / Wszystkie zeszyty

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

### Tom 130 / 2013

Colloquium Mathematicum 130 (2013), 103-126 MSC: Primary 42B15, 60G44; Secondary 42B20. DOI: 10.4064/cm130-1-10

#### Streszczenie

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 $\mathbb{R}^d$.