Characterization of the boundedness of generalized fractional integral and maximal operators on Orlicz-Morrey and weak Orlicz-Morrey spaces

Autor:	Kawasumi, Ryota, Nakai, Eiichi, Shi, Minglei
Rok vydání:	2021
Předmět:	Mathematics - Functional Analysis 42B35 46E30 42B20 42B25
Druh dokumentu:	Working Paper
Popis:	We give necessary and sufficient conditions for the boundedness of generalized fractional integral and maximal operators on Orlicz-Morrey and weak Orlicz-Morrey spaces. To do this we prove the weak-weak type modular inequality of the Hardy-Littlewood maximal operator with respect to the Young function. Orlicz-Morrey spaces contain $L^p$ spaces ($1\le p\le\infty$), Orlicz spaces and generalized Morrey spaces as special cases. Hence we get necessary and sufficient conditions on these function spaces as corollaries. Comment: 29 pages. arXiv admin note: text overlap with arXiv:2007.00468, arXiv:1812.09148
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2107.10553 Zobrazit plný text záznamu View this record from Arxiv