The boundedness of certain sublinear operators with rough kernel generated by Calder\'on-Zygmund operators and their commutators on generalized weighted Morrey spaces

Autor:	Gurbuz, Ferit
Rok vydání:	2016
Předmět:	Mathematics - Functional Analysis 42B20 42B25 42B35
Druh dokumentu:	Working Paper
Popis:	The aim of this paper is to get the boundedness of certain sublinear operators with rough kernel generated by Calder\'on-Zygmund operators on the generalized weighted Morrey spaces under generic size conditions which are satisfied by most of the operators in harmonic analysis. We also prove that the commutator operators formed by BMO functions and certain sublinear operators with rough kernel are also bounded on the generalized weighted Morrey spaces. Marcinkiewicz operator which satisfies the conditions of these theorems can be considered as an example. Comment: arXiv admin note: substantial text overlap with arXiv:1602.07853, arXiv:1603.06739, arXiv:1603.04088, arXiv:1603.03469, arXiv:1602.08096; text overlap with arXiv:1212.6928 by other authors
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1604.01538 Zobrazit plný text záznamu View this record from Arxiv