Vector-Valued Inequalities for Commutators of Singular Integrals on Herz Spaces with Variable Exponents
Year: 2017
Author: Liwei Wang, Meng Qu, Lisheng Shu
Communications in Mathematical Research , Vol. 33 (2017), Iss. 4 : pp. 363–376
Abstract
Based on the theory of variable exponents and BMO norms, we prove the vector-valued inequalities for commutators of singular integrals on both homogeneous and inhomogeneous Herz spaces where the two main indices are variable exponents. Furthermore, we show that a wide class of commutators generated by BMO functions and sublinear operators satisfy vector-valued inequalities.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2017.04.09
Communications in Mathematical Research , Vol. 33 (2017), Iss. 4 : pp. 363–376
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: variable exponent Herz spaces commutator singular integral