Boundedness of Calderón-Zygmund operators and their commutator on Morrey-Herz Spaces with variable exponents

In this paper, the boundedness of Calderón-Zygmund operators is obtained on Morrey-Herz spaces with variable exponents \(MK^{α(⋅),λ}_{q(⋅),p(⋅)}(R^n)\) and several norm inequalities for the commutator generated by Calderó-Zygmund operators, BMO function and Lipschitz function are given.

Bibliographic Details
Main Authors: Omer Abdalrhman, Afif Abdalmonem, Shuangping Tao
Format: Article
Language:English
Published: Ptolemy Scientific Research Press 2020-09-01
Series:Open Journal of Mathematical Sciences
Subjects:
Online Access:https://pisrt.org/psr-press/journals/oms-vol-4-2020/boundedness-of-calderon-zygmund-operators-and-their-commutator-on-morrey-herz-spaces-with-variable-exponents/