Calderon–Zygmund singular integral estimates in generalized weighted function spaces

Ahmed Loulit

Vol. 307 (2020), No. 1, 197–220

DOI: 10.2140/pjm.2020.307.197

Abstract

We prove boundedness of commutators associated to some anisotropic singular integral on weighted Lebesgue spaces and on generalized weighted Morrey spaces. As an application, we obtain the boundedness of those operators on weighted Triebel–Lizorkin space.

Keywords

Calderon–Zygmund singular integrals, Muckenhoupt classes, commutator operators

Mathematical Subject Classification 2010

Primary: 42B20

Milestones

Received: 9 July 2017

Revised: 7 October 2018

Accepted: 17 February 2020

Published: 8 August 2020