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/