Traces of Orlicz‐Sobolev functions under general growth restrictions

DOI10.1002/mana.201100185zbMath1276.46026OpenAlexW2041353419WikidataQ115181008 ScholiaQ115181008MaRDI QIDQ4925041

Agnieszka Kałamajska, Miroslav Krbec

Publication date: 11 June 2013

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201100185

zbMATH Keywords

Orlicz-Sobolev spaceHardy inequalitytrace operatorOrlicz-Slobodetskii space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (7)

A pocket guide to nonlinear differential equations in Musielak-Orlicz spaces ⋮ A Note on Optimal Design for Thin Structures in the Orlicz–Sobolev Setting ⋮ Well posedness and regularity for heat equation with the initial condition in weighted Orlicz-Slobodetskii space subordinated to Orlicz space like \(\lambda (\log\lambda )^\alpha\) and the logarithmic weight ⋮ Orlicz equi-integrability for scaled gradients ⋮ Weak and Young Measure Solutions for Hyperbolic Initial Boundary Value Problems of Elastodynamics in the Orlicz--Sobolev Space Setting ⋮ Effective energy integral functionalsfor thin films on curl-free vector fields in the Orlicz–Sobolev space setting ⋮ A Pólya–Szegö principle for general fractional Orlicz–Sobolev spaces

Cites Work

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• Orlicz-Sobolev spaces and imbedding theorems
• On Hardy - Littlewood Maximal Functions in Orlicz Spaces
• Some approximation properties in Orlicz-Sobolev spaces
• Hardy inequalities in Orlicz spaces
• Several Types of Intermediate Besov-Orlicz Spaces
• Gagliardo–Nirenberg inequalities in weighted Orlicz spaces
• Orlicz-Sobolev boundary trace embeddings

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