Commutators of potential type operators with Lipschitz symbols on variable Lebesgue spaces with different weights

Autor:	Melchiori, Luciana, Pradolini, Gladis, Ramos, Wilfredo
Rok vydání:	2019
Předmět:	Mathematics - Classical Analysis and ODEs 42B25
Druh dokumentu:	Working Paper
Popis:	We prove that a generalized Fefferman-Phong type condition on a pair of weights $u$ and $v$ is sufficient for the boundedness of the commutators of potential type operators from $L^{p(\cdot)}_v$ into $L^{q(\cdot)}_u$. We also give an improvement of this result in the sense that we not only consider a variable version of power bump conditions, but also weaker norms related to Musielak-Orlicz functions. We consider a wider class of symbols including Lipschitz symbols and some generalizations. Comment: 29 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1907.05946 Zobrazit plný text záznamu View this record from Arxiv