On one extension theorem dealing with weighted Orlicz-Slobodetskii space. Analysis on cube

DOI10.7153/mia-18-04zbMath1334.46028OpenAlexW2151641057WikidataQ115181004 ScholiaQ115181004MaRDI QIDQ5174152

Agnieszka Kałamajska, Raj Narayan Dhara

Publication date: 17 February 2015

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-18-04

zbMATH Keywords

extension theoremweighted Orlicz spacesweighted Orlicz-Sobolev spacestrace embedding theoremweighted Orlicz-Slobodetskii spaces

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) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (5)

On solvability of nonlinear eigenvalue problems for degenerate PDEs of elliptic type ⋮ Characterization of trace spaces on regular trees via dyadic norms ⋮ On equivalent conditions for the validity of Poincaré inequality on weighted Sobolev space with applications to the solvability of degenerated PDEs involving \(p\)-Laplacian ⋮ 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 ⋮ Traces of weighted function spaces: dyadic norms and Whitney extensions

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