Parameterized Littlewood-Paley Operators on Weighted Herz Spaces

Yueshan Wang & Aiqing Chen

doi:10.4208/ata.2017.v33.n4.1

Parameterized Littlewood-Paley Operators on Weighted Herz Spaces

Authors

Yueshan Wang & Aiqing Chen

DOI:

https://doi.org/10.4208/ata.2017.v33.n4.1

Keywords:

Parameterized Littlewood-Paley operator, Herz space, weak Herz space, BMO, commutator, Muckenhoupt weight.

Abstract

The strong type and weak type estimates of parameterized Littlewood-Paley operators on the weighted Herz spaces $\dot{K}^{α,p}_q (ω_1 ,ω_2)$ are considered. The boundedness of the commutators generated by BMO functions and parameterized Littlewood-Paley operators are also obtained.

Downloads

Preview
Requires Subscription Full PDF

Published

2017-11-02

Abstract View

44174

Pdf View

4003

Issue

Vol. 33 No. 4 (2017)

Section

Articles

How to Cite

Parameterized Littlewood-Paley Operators on Weighted Herz Spaces. (2017). Analysis in Theory and Applications, 33(4), 301-315. https://doi.org/10.4208/ata.2017.v33.n4.1