Characterisation of zero trace functions in higher-order spaces of Sobolev type

DOI10.1016/j.jmaa.2017.11.002zbMath1402.46024OpenAlexW2767525998MaRDI QIDQ1684800

David E. Edmunds, Aleš Nekvinda

Publication date: 12 December 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.11.002

zbMATH Keywords

Banach function spacevariable exponentzero tracehigher-order Sobolev space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (1)

Characterization of functions with zero traces via the distance function and Lorentz spaces

Cites Work

• Lebesgue and Sobolev spaces with variable exponents
• Hardy's inequalities for Sobolev functions
• Differential Operators on Spaces of Variable Integrability
• Weakly Differentiable Functions
• Characterisation of zero trace functions in variable exponent Sobolev spaces
• Maximal function on generalized Lebesgue spaces L^p(⋅)
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