Boundedness of the Vector-Valued Intrinsic Square Functions on Variable Exponents Herz Spaces

Omer Abdalrhman Omer and Muhammad Zainul Abidin
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Omer Abdalrhman Omer: College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China
Muhammad Zainul Abidin: College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China

Mathematics, 2022, vol. 10, issue 7, 1-22

Abstract: In this article, the authors study the boundedness of the vector-valued inequality for the intrinsic square function and the boundedness of the scalar-valued intrinsic square function on variable exponents Herz spaces K ˙ ρ ( · ) α , q ( · ) ( R n ) . In addition, the boundedness of commutators generated by the scalar-valued intrinsic square function and BMO class is also studied on K ˙ ρ ( · ) α , q ( · ) ( R n ) .

Keywords: intrinsic square function; vector-valued inequality; Herz spaces; BMO function; variable exponent; sublinear operators (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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