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

Adam Osękowski

Colloquium Mathematicae (2013)

  • Volume: 130, Issue: 1, page 103-126
  • ISSN: 0010-1354

Abstract

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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 d .

How to cite

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Adam Osękowski. "Logarithmic inequalities for second-order Riesz transforms and related Fourier multipliers." Colloquium Mathematicae 130.1 (2013): 103-126. <http://eudml.org/doc/283534>.

@article{AdamOsękowski2013,
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 $ℝ^\{d\}$.},
author = {Adam Osękowski},
journal = {Colloquium Mathematicae},
keywords = {Fourier multiplier; singular integral; martingale; differential subordination},
language = {eng},
number = {1},
pages = {103-126},
title = {Logarithmic inequalities for second-order Riesz transforms and related Fourier multipliers},
url = {http://eudml.org/doc/283534},
volume = {130},
year = {2013},
}

TY - JOUR
AU - Adam Osękowski
TI - Logarithmic inequalities for second-order Riesz transforms and related Fourier multipliers
JO - Colloquium Mathematicae
PY - 2013
VL - 130
IS - 1
SP - 103
EP - 126
AB - 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 $ℝ^{d}$.
LA - eng
KW - Fourier multiplier; singular integral; martingale; differential subordination
UR - http://eudml.org/doc/283534
ER -

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