Extrapolation of compactness on weighted Morrey spaces

Autor:	Lappas, Stefanos
Rok vydání:	2021
Předmět:	Mathematics - Functional Analysis Mathematics - Classical Analysis and ODEs Primary 47B38 Secondary 42B20 42B35 46B70
Zdroj:	Studia Mathematica 265 (2022), 177-195
Druh dokumentu:	Working Paper
DOI:	10.4064/sm210607-20-9
Popis:	In a previous work, "compact versions" of Rubio de Francia's weighted extrapolation theorem were proved, which allow one to extrapolate the compactness of an linear operator from just one space to the full range of weighted Lebesgue spaces, where this operator is bounded. In this paper, we extend these results to the setting of weighted Morrey spaces. As applications, we easily obtain new results on the weighted compactness of commutators of Calder\'on--Zygmund singular integrals, rough singular integrals and Bochner--Riesz multipliers. Comment: v3: final version, minor revisions, to appear in Studia Mathematica, 21 pages. arXiv admin note: substantial text overlap with arXiv:2006.15858, arXiv:2003.01606
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2103.10304 Zobrazit plný text záznamu View this record from Arxiv