A note on vanishing morrey vmo result for fractional integrals of variable order

Humberto Rafeiro; Stefan Samko

doi:10.1515/fca-2020-0013

A note on vanishing morrey vmo result for fractional integrals of variable order

Humberto Rafeiro, Stefan Samko

Department of Mathematical Sciences

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

8 Citations (Scopus)

Abstract

In the limiting case of Sobolev-Adams theorem for Morrey spaces of variable order we prove that the fractional operator of variable order maps the corresponding vanishing Morrey space into VMO.

Original language	English
Pages (from-to)	298-302
Number of pages	5
Journal	Fractional Calculus and Applied Analysis
Volume	23
Issue number	1
DOIs	https://doi.org/10.1515/fca-2020-0013
Publication status	Published - Feb 1 2020

Keywords

BMO
Fractional integral
Morrey spaces
Riesz potential
VMO
Variable exponent

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1515/fca-2020-0013

Cite this

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title = "A note on vanishing morrey vmo result for fractional integrals of variable order",

abstract = "In the limiting case of Sobolev-Adams theorem for Morrey spaces of variable order we prove that the fractional operator of variable order maps the corresponding vanishing Morrey space into VMO.",

keywords = "BMO, Fractional integral, Morrey spaces, Riesz potential, VMO, Variable exponent",

author = "Humberto Rafeiro and Stefan Samko",

note = "Publisher Copyright: {\textcopyright} 2020 Diogenes Co., Sofia.",

year = "2020",

month = feb,

day = "1",

doi = "10.1515/fca-2020-0013",

language = "English",

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journal = "Fractional Calculus and Applied Analysis",

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AU - Rafeiro, Humberto

AU - Samko, Stefan

PY - 2020/2/1

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N2 - In the limiting case of Sobolev-Adams theorem for Morrey spaces of variable order we prove that the fractional operator of variable order maps the corresponding vanishing Morrey space into VMO.

AB - In the limiting case of Sobolev-Adams theorem for Morrey spaces of variable order we prove that the fractional operator of variable order maps the corresponding vanishing Morrey space into VMO.

KW - BMO

KW - Fractional integral

KW - Morrey spaces

KW - Riesz potential

KW - VMO

KW - Variable exponent

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VL - 23

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JO - Fractional Calculus and Applied Analysis

JF - Fractional Calculus and Applied Analysis

IS - 1

ER -

A note on vanishing morrey vmo result for fractional integrals of variable order

Abstract

Keywords

ASJC Scopus subject areas

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