Boundedness of fractional integrals on weighted Herz spaces with variable exponent

Mitsuo Izuki; Takahiro Noi

doi:10.1186/s13660-016-1142-9

Boundedness of fractional integrals on weighted Herz spaces with variable exponent

Mitsuo Izuki, Takahiro Noi

Research output: Contribution to journal › Article

5 Citations (Scopus)

Abstract

Our aim is to prove the boundedness of fractional integral operators on weighted Herz spaces with variable exponent. Our method is based on the theory on Banach function spaces and the Muckenhoupt theory with variable exponent.

Original language	English
Article number	199
Journal	Journal of Inequalities and Applications
Volume	2016
Issue number	1
DOIs	https://doi.org/10.1186/s13660-016-1142-9
Publication status	Published - Dec 1 2016

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Keywords

Herz spaces
Muckenhoupt weight
variable exponent

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

Cite this

Izuki, M., & Noi, T. (2016). Boundedness of fractional integrals on weighted Herz spaces with variable exponent. Journal of Inequalities and Applications, 2016(1), [199]. https://doi.org/10.1186/s13660-016-1142-9

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Access to Document

10.1186/s13660-016-1142-9