On the Riesz potential operator of variable order from variable exponent Morrey space to variable exponent Campanato space

Humberto Rafeiro; Stefan Samko

doi:10.1002/mma.6187

On the Riesz potential operator of variable order from variable exponent Morrey space to variable exponent Campanato space

Humberto Rafeiro, Stefan Samko

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

For the Riesz potential of variable order over bounded domains in Euclidean space, we prove the boundedness result from variable exponent Morrey spaces to variable exponent Campanato spaces. A special attention is paid to weaken assumptions on variability of the Riesz potential.

Original language	English
Pages (from-to)	9337-9344
Number of pages	8
Journal	Mathematical Methods in the Applied Sciences
Volume	43
Issue number	16
DOIs	https://doi.org/10.1002/mma.6187
Publication status	Published - Nov 15 2020

Keywords

BMO
Riesz potential
fractional integral
variable exponent Campanato spaces
variable exponent Morrey spaces

ASJC Scopus subject areas

General Mathematics
General Engineering

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10.1002/mma.6187

Cite this

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abstract = "For the Riesz potential of variable order over bounded domains in Euclidean space, we prove the boundedness result from variable exponent Morrey spaces to variable exponent Campanato spaces. A special attention is paid to weaken assumptions on variability of the Riesz potential.",

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On the Riesz potential operator of variable order from variable exponent Morrey space to variable exponent Campanato space

Abstract

Keywords

ASJC Scopus subject areas

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