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Volume 33, Issue 4
Parameterized Littlewood-Paley Operators on Weighted Herz Spaces

Yueshan Wang & Aiqing Chen

Anal. Theory Appl., 33 (2017), pp. 301-315.

Published online: 2017-11

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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.

  • AMS Subject Headings

42B20, 30H35, 42B35

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COPYRIGHT: © Global Science Press

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@Article{ATA-33-301, author = {Yueshan Wang and Aiqing Chen}, title = {Parameterized Littlewood-Paley Operators on Weighted Herz Spaces}, journal = {Analysis in Theory and Applications}, year = {2017}, volume = {33}, number = {4}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2017.v33.n4.1}, url = {http://global-sci.org/intro/article_detail/ata/10698.html} }
TY - JOUR T1 - Parameterized Littlewood-Paley Operators on Weighted Herz Spaces AU - Yueshan Wang & Aiqing Chen JO - Analysis in Theory and Applications VL - 4 SP - 301 EP - 315 PY - 2017 DA - 2017/11 SN - 33 DO - http://doi.org/10.4208/ata.2017.v33.n4.1 UR - https://global-sci.org/intro/article_detail/ata/10698.html KW - Parameterized Littlewood-Paley operator, Herz space, weak Herz space, BMO, commutator, Muckenhoupt weight. AB -

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.

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