Compactness of embedding of generalized higher order Lipschitz classes

Carlos Daniel Tamayo Castro; Ricardo Abreu Blaya; Juan Bory Reyes

doi:10.1007/s13324-018-0268-y

Compactness of embedding of generalized higher order Lipschitz classes

Carlos Daniel Tamayo Castro, Ricardo Abreu Blaya, Juan Bory Reyes

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Zacatenco

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

2 Scopus citations

Abstract

In this paper sufficient conditions for continuous and compact embeddings of generalized higher order Lipschitz classes on a compact subset of n-dimensional real Euclidean spaces are obtained.

Original language	English
Pages (from-to)	1719-1727
Number of pages	9
Journal	Analysis and Mathematical Physics
Volume	9
Issue number	4
DOIs	https://doi.org/10.1007/s13324-018-0268-y
State	Published - 1 Dec 2019

Keywords

Compactness
Embedding theorems
Higher order Lipschitz classes

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title = "Compactness of embedding of generalized higher order Lipschitz classes",

abstract = "In this paper sufficient conditions for continuous and compact embeddings of generalized higher order Lipschitz classes on a compact subset of n-dimensional real Euclidean spaces are obtained.",

keywords = "Compactness, Embedding theorems, Higher order Lipschitz classes",

author = "{Tamayo Castro}, {Carlos Daniel} and {Abreu Blaya}, Ricardo and {Bory Reyes}, Juan",

note = "Publisher Copyright: {\textcopyright} 2018, Springer Nature Switzerland AG.",

year = "2019",

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day = "1",

doi = "10.1007/s13324-018-0268-y",

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T1 - Compactness of embedding of generalized higher order Lipschitz classes

AU - Tamayo Castro, Carlos Daniel

AU - Abreu Blaya, Ricardo

AU - Bory Reyes, Juan

PY - 2019/12/1

Y1 - 2019/12/1

N2 - In this paper sufficient conditions for continuous and compact embeddings of generalized higher order Lipschitz classes on a compact subset of n-dimensional real Euclidean spaces are obtained.

AB - In this paper sufficient conditions for continuous and compact embeddings of generalized higher order Lipschitz classes on a compact subset of n-dimensional real Euclidean spaces are obtained.

KW - Compactness

KW - Embedding theorems

KW - Higher order Lipschitz classes

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DO - 10.1007/s13324-018-0268-y

M3 - Artículo

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VL - 9

SP - 1719

EP - 1727

JO - Analysis and Mathematical Physics

JF - Analysis and Mathematical Physics

IS - 4

ER -

Compactness of embedding of generalized higher order Lipschitz classes

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Keywords

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