Boundedness of Vector Valued Bilinear Calder´onZygmund Operators on Products of Weighted Herz-Morrey Spaces with Variable Exponents*

Citation:

Shengrong WANG,Jingshi XU.Boundedness of Vector Valued Bilinear Calder´onZygmund Operators on Products of Weighted Herz-Morrey Spaces with Variable Exponents*[J].Chinese Annals of Mathematics B,2021,42(5):693~720
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Authors:

Shengrong WANG; Jingshi XU

Foundation:

National Natural Science Foundation of China (Nos. 11761026) and Guangxi Natural Science Foundation (No. 2020GXNSFAA159085).
Abstract: In this paper, the authors obtain the boundedness of vector valued bilinear Calder′on-Zygmund operators on products of weighted Herz-Morrey spaces with variable exponents.

Keywords:

Bilinear Calder´on-Zygmund operator, Vector valued inequality, Muckenhoupt weight, Variable exponent, Herz-Morrey space

Classification:

42B25, 42B35
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