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

Access to Document

10.1002/mma.6187

Cite this

@article{aa73a231acaa4050ac1298bc280bb05a,

title = "On the Riesz potential operator of variable order from variable exponent Morrey space to variable exponent Campanato space",

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.",

keywords = "BMO, Riesz potential, fractional integral, variable exponent Campanato spaces, variable exponent Morrey spaces",

author = "Humberto Rafeiro and Stefan Samko",

note = "Publisher Copyright: {\textcopyright} 2020 John Wiley \& Sons, Ltd.",

year = "2020",

month = nov,

day = "15",

doi = "10.1002/mma.6187",

language = "English",

volume = "43",

pages = "9337--9344",

journal = "Mathematical Methods in the Applied Sciences",

issn = "0170-4214",

publisher = "John Wiley and Sons Ltd",

number = "16",

}

TY - JOUR

T1 - On the Riesz potential operator of variable order from variable exponent Morrey space to variable exponent Campanato space

AU - Rafeiro, Humberto

AU - Samko, Stefan

PY - 2020/11/15

Y1 - 2020/11/15

N2 - 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.

AB - 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.

KW - BMO

KW - Riesz potential

KW - fractional integral

KW - variable exponent Campanato spaces

KW - variable exponent Morrey spaces

UR - https://www.scopus.com/pages/publications/85080125814

UR - https://www.scopus.com/pages/publications/85080125814#tab=citedBy

U2 - 10.1002/mma.6187

DO - 10.1002/mma.6187

M3 - Article

AN - SCOPUS:85080125814

SN - 0170-4214

VL - 43

SP - 9337

EP - 9344

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 16

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this