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Embeddings of the fractional Sobolev spaces on metric-measurespaces

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We study embeddings of fractional Sobolev spaces defined on metric-measurespaces. Various results about continuous and compact embeddings are proven.Many theorems are illustrated by a number of examples.(c) 2022 Elsevier Ltd. All rights reserved.

Sobolev spacesFractional spacesMetric-measure spacesSobolev embeddingsCompact embeddingTHEOREMBESOV

Gorka, Przemyslaw、Slabuszewski, Artur

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Warsaw Univ Technol

2022

Nonlinear Analysis

Nonlinear Analysis

ISSN:0362-546X
年,卷(期):2022.221
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