Parameterized Littlewood-Paley Operators on Weighted Herz Spaces

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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.

Keywords:

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

10.4208/ata.2017.v33.n4.1

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
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