Boundedness of convolution operators with smooth kernels on Orlicz spaces

Hugo Aimar; Eleonor Harboure; Bibiana Iaffei

Studia Mathematica (2002)

  • Volume: 151, Issue: 3, page 195-206
  • ISSN: 0039-3223

Abstract

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We study boundedness in Orlicz norms of convolution operators with integrable kernels satisfying a generalized Lipschitz condition with respect to normal quasi-distances of ℝⁿ and continuity moduli given by growth functions.

How to cite

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Hugo Aimar, Eleonor Harboure, and Bibiana Iaffei. "Boundedness of convolution operators with smooth kernels on Orlicz spaces." Studia Mathematica 151.3 (2002): 195-206. <http://eudml.org/doc/284584>.

@article{HugoAimar2002,
abstract = {We study boundedness in Orlicz norms of convolution operators with integrable kernels satisfying a generalized Lipschitz condition with respect to normal quasi-distances of ℝⁿ and continuity moduli given by growth functions.},
author = {Hugo Aimar, Eleonor Harboure, Bibiana Iaffei},
journal = {Studia Mathematica},
keywords = {translation invariant operators; Orlicz spaces; Orlicz norms; convolution operators with integrable kernels; generalized Lipschitz condition; normal quasidistances; continuity moduli},
language = {eng},
number = {3},
pages = {195-206},
title = {Boundedness of convolution operators with smooth kernels on Orlicz spaces},
url = {http://eudml.org/doc/284584},
volume = {151},
year = {2002},
}

TY - JOUR
AU - Hugo Aimar
AU - Eleonor Harboure
AU - Bibiana Iaffei
TI - Boundedness of convolution operators with smooth kernels on Orlicz spaces
JO - Studia Mathematica
PY - 2002
VL - 151
IS - 3
SP - 195
EP - 206
AB - We study boundedness in Orlicz norms of convolution operators with integrable kernels satisfying a generalized Lipschitz condition with respect to normal quasi-distances of ℝⁿ and continuity moduli given by growth functions.
LA - eng
KW - translation invariant operators; Orlicz spaces; Orlicz norms; convolution operators with integrable kernels; generalized Lipschitz condition; normal quasidistances; continuity moduli
UR - http://eudml.org/doc/284584
ER -

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