Variable exponent Hölder spaces

Vakhtang Kokilashvili; Alexander Meskhi; Humberto Rafeiro; Stefan Samko

doi:10.1007/978-3-319-21018-6_1

Variable exponent Hölder spaces

Vakhtang Kokilashvili
, Alexander Meskhi
, Humberto Rafeiro
, Stefan Samko

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

17 Citations (Scopus)

Abstract

We already dealt in Volume 1 with Hölder spaces H^λ(·)(Ω) of variable order, in Sections 8.2.1 and 8.2.3 in the case of open setsΩ⊆ℝⁿ, and in Section 8.3 in the general case of quasimetric measure spaces, where embeddings of variable exponent Sobolev spaces into Hölder spaces were established.

Original language	English
Pages (from-to)	571-604
Number of pages	34
Journal	Operator Theory: Advances and Applications
Volume	249
DOIs	https://doi.org/10.1007/978-3-319-21018-6_1
Publication status	Published - 2016
Externally published	Yes

ASJC Scopus subject areas

Analysis

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10.1007/978-3-319-21018-6_1

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title = "Variable exponent H{\"o}lder spaces",

abstract = "We already dealt in Volume 1 with H{\"o}lder spaces Hλ(·)(Ω) of variable order, in Sections 8.2.1 and 8.2.3 in the case of open setsΩ⊆ℝn, and in Section 8.3 in the general case of quasimetric measure spaces, where embeddings of variable exponent Sobolev spaces into H{\"o}lder spaces were established.",

author = "Vakhtang Kokilashvili and Alexander Meskhi and Humberto Rafeiro and Stefan Samko",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2016.",

year = "2016",

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AU - Kokilashvili, Vakhtang

AU - Meskhi, Alexander

AU - Rafeiro, Humberto

AU - Samko, Stefan

N1 - Publisher Copyright: © Springer International Publishing Switzerland 2016.

PY - 2016

Y1 - 2016

N2 - We already dealt in Volume 1 with Hölder spaces Hλ(·)(Ω) of variable order, in Sections 8.2.1 and 8.2.3 in the case of open setsΩ⊆ℝn, and in Section 8.3 in the general case of quasimetric measure spaces, where embeddings of variable exponent Sobolev spaces into Hölder spaces were established.

AB - We already dealt in Volume 1 with Hölder spaces Hλ(·)(Ω) of variable order, in Sections 8.2.1 and 8.2.3 in the case of open setsΩ⊆ℝn, and in Section 8.3 in the general case of quasimetric measure spaces, where embeddings of variable exponent Sobolev spaces into Hölder spaces were established.

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DO - 10.1007/978-3-319-21018-6_1

M3 - Article

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VL - 249

SP - 571

EP - 604

JO - Operator Theory: Advances and Applications

JF - Operator Theory: Advances and Applications

ER -

Variable exponent Hölder spaces

Abstract

ASJC Scopus subject areas

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