Fractional Maximal Operator in Orlicz spaces
Functional Analysis
2019-03-14 v1
Abstract
We study the fractional maximal operator acting between Orlicz spaces. We characterise whether the operator is bounded between two given Orlicz spaces. Also a necessary and sufficient conditions for the existence of an optimal target and domain spaces are established and the explicit formulas of corresponding optimal Young functions are presented.
Keywords
Cite
@article{arxiv.1805.00763,
title = {Fractional Maximal Operator in Orlicz spaces},
author = {Vít Musil},
journal= {arXiv preprint arXiv:1805.00763},
year = {2019}
}
Comments
23 pages