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

Mathematics

Omer Abdalrhman Omer¹  Muhammad Zainul Abidin¹ 

[1] College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China;

关键词: intrinsic square function;    vector-valued inequality;    Herz spaces;    BMO function;    variable exponent;    sublinear operators;   

DOI  :  10.3390/math10071168

来源: DOAJ

【 摘 要 】

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 ${\dot{K}}_{\rho (·)}^{\alpha ,q(·)}\left({\mathbb{R}}^n\right)$. In addition, the boundedness of commutators generated by the scalar-valued intrinsic square function and BMO class is also studied on ${\dot{K}}_{\rho (·)}^{\alpha ,q(·)}\left({\mathbb{R}}^n\right)$.

【 授权许可】

Unknown