Weighted boundedness of the Hardy-Littlewood maximal and Calder\'on-Zygmund operators on Orlicz-Morrey and weak Orlicz-Morrey spaces

Autor:	Kawasumi, Ryota, Nakai, Eiichi
Rok vydání:	2021
Předmět:	Mathematics - Functional Analysis 46E30 42B35 42B25 42B20
Druh dokumentu:	Working Paper
Popis:	For the Hardy-Littlewood maximal and Calder\'on-Zygmund operators, the weighted boundedness on the Lebesgue spaces are well known. We extend these to the Orlicz-Morrey spaces. Moreover, we prove the weighted boundedness on the weak Orlicz-Morrey spaces. To do this we show the weak-weak modular inequality. The Orlicz-Morrey space and its weak version contain weighted Orlicz, Morrey and Lebesgue spaces and their weak versions as special cases. Then we also get the boundedness for these function spaces as corollaries. Comment: 23 pages. arXiv admin note: text overlap with arXiv:2107.10553, arXiv:2007.00468
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2108.07080 Zobrazit plný text záznamu View this record from Arxiv