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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm151-3-1,
author = {Hugo Aimar and Eleonor Harboure and Bibiana Iaffei},
title = {Boundedness of convolution operators with smooth kernels on Orlicz spaces},
journal = {Studia Mathematica},
volume = {151},
year = {2002},
pages = {195-206},
zbl = {1001.47019},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm151-3-1}
}
Hugo Aimar; Eleonor Harboure; Bibiana Iaffei. Boundedness of convolution operators with smooth kernels on Orlicz spaces. Studia Mathematica, Tome 151 (2002) pp. 195-206. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm151-3-1/