Geometric characterization of generalized Hajłasz-Sobolev embedding domains

In this article, the authors study the embedding properties of Hajłasz-Sobolev spaces with generalized smoothness on Euclidean domains, whose regularity is described via a smoothness weight function ϕ:[0,∞)→[0,∞)\phi :\left[0,\infty )\to \left[0,\infty ). Given any bounded domain with the slice prop...

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Bibliographic Details
Main Authors: Li Ziwei, Yang Dachun, Yuan Wen
Format: Article
Language:English
Published: De Gruyter 2025-03-01
Series:Advances in Nonlinear Analysis
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Online Access:https://doi.org/10.1515/anona-2025-0077
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