Anisotropic Herz-Morrey Spaces with Variable Exponents

Document Type : Original Article

Authors

Hongbin Wang ¹

Yihong Wu ²

¹ School of Mathematical Sciences,, University of Chinese Academy of Sciences,, Beijing 100049, China; School of Science, Shandong University of Technology, Zibo 255049, China.

² Department of Recruitment and Employment, Zibo Normal College, Zibo 255130, China.

10.22034/kjm.2016.41345

Abstract

In this paper, the authors introduce the anisotropic Herz-Morrey spaces with two variable
exponents and obtain some properties of these spaces. Subsequently as an application, the authors give some boundedness on the anisotropic Herz-Morrey spaces with two variable exponents for a class of sublinear
operators, which extend some known results.

Keywords

Anisotropic Herz-Morrey space

variable exponent

boundedness

sublinear operator

Subjects

• 42 Harmonic analysis on Euclidean spaces
• 46 Functional analysis

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