Boundary trace inequalities and rearrangements

DOI10.1007/s11854-008-0036-2zbMath1169.46013OpenAlexW2164526896MaRDI QIDQ948863

Luboš Pick, Ron Kerman, Andrea Cianchi

Publication date: 16 October 2008

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-008-0036-2

zbMATH Keywords

rearrangement invariant spacestrace theoremsgeneralized Sobolev 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)

Related Items (16)

Integrable cross sections in mixed-norm spaces and Sobolev embeddings ⋮ A trace inequality of Riesz potentials in variable exponent Orlicz spaces ⋮ Reduction principle for Gaussian \(K\)-inequality ⋮ Boundedness of solutions to Dirichlet, Neumann and Robin problems for elliptic equations in Orlicz spaces ⋮ Optimal behavior of weighted Hardy operators on rearrangement‐invariant spaces ⋮ 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 Orlicz‐Sobolev functions under general growth restrictions ⋮ An optimal endpoint trace embedding ⋮ Weighted Inequalities for Integral and Supremum Operators ⋮ Sobolev embeddings, rearrangement-invariant spaces and Frostman measures ⋮ Orlicz-Sobolev boundary trace embeddings ⋮ Optimality of Function Spaces in Sobolev Embeddings ⋮ Sobolev embeddings in Orlicz and Lorentz spaces with measures ⋮ Optimal Sobolev trace embeddings ⋮ Optimal domain spaces in Orlicz-Sobolev embeddings ⋮ On global bifurcation for the nonlinear Steklov problems

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