Extension in generalized Orlicz-Sobolev spaces

DOI10.1016/j.jmaa.2022.126941OpenAlexW4312054787MaRDI QIDQ2685234

Jonne Juusti

Publication date: 20 February 2023

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

Full work available at URL: https://arxiv.org/abs/2206.15121

zbMATH Keywords

Orlicz-Sobolev spacegeneralized Orlicz spaceextension

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)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Eigenvalues for double phase variational integrals
• Lebesgue and Sobolev spaces with variable exponents
• Orlicz-Sobolev extensions and measure density condition
• Quasiconformal mappings and extendability of functions in Sobolev spaces
• Orlicz spaces and generalized Orlicz spaces
• A density result on Orlicz-Sobolev spaces in the plane
• Sobolev-Dirichlet problem for quasilinear elliptic equations in generalized Orlicz-Sobolev spaces
• Uniform convexity, reflexivity, superreflexivity and \(B\) convexity of generalized Sobolev spaces \(W^{1, \Phi }\)
• Extension in generalized Orlicz spaces
• Sharp growth conditions for boundedness of maximal function in generalized Orlicz spaces

This page was built for publication: Extension in generalized Orlicz-Sobolev spaces