Boundedness of Vector Valued Bilinear Calderón-Zygmund Operators on Products of Weighted Herz-Morrey Spaces with Variable Exponents

Shengrong Wang; Jingshi Xu

doi:10.1007/s11401-021-0286-1

Chinese Annals of Mathematics, Series B ›› 2021, Vol. 42 ›› Issue (5) : 693 -720. DOI: 10.1007/s11401-021-0286-1

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Boundedness of Vector Valued Bilinear Calderón-Zygmund Operators on Products of Weighted Herz-Morrey Spaces with Variable Exponents

Shengrong Wang ¹
, Jingshi Xu ²^,^b

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Abstract

In this paper, the authors obtain the boundedness of vector valued bilinear Calderón-Zygmund operators on products of weighted Herz-Morrey spaces with variable exponents.

Keywords

Bilinear Calderón-Zygmund operator / Vector valued inequality / Muckenhoupt weight / Variable exponent / Herz-Morrey space

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Shengrong Wang,Jingshi Xu. Boundedness of Vector Valued Bilinear Calderón-Zygmund Operators on Products of Weighted Herz-Morrey Spaces with Variable Exponents. Chinese Annals of Mathematics, Series B, 2021, 42(5): 693-720 DOI:10.1007/s11401-021-0286-1