Parameterized Littlewood-Paley Operators on Weighted Herz Spaces

Parameterized Littlewood-Paley Operators on Weighted Herz Spaces

Year:    2017

Analysis in Theory and Applications, Vol. 33 (2017), Iss. 4 : pp. 301–315

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Analysis in Theory and Applications, Vol. 33 (2017), Iss. 4 : pp. 301–315

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

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