On the boundary limits of monotone Sobolev functions in variable exponent Orlicz spaces

DOI10.1007/S10114-013-0575-ZzbMath1261.31003OpenAlexW1499166770MaRDI QIDQ1940874

Toshihide Futamura, Tetsu Shimomura

Publication date: 8 March 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-013-0575-z

zbMATH Keywords

variable exponentnontangential limitsLindelöf theoremtangential limitsmonotone Sobolev functions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Boundary behavior of harmonic functions in higher dimensions (31B25)

Cites Work

• On the existence of tangential limits of monotone BLD functions
• Sobolev's inequalities and vanishing integrability for Riesz potentials of functions in the generalized Lebesgue space \(L^{p(\cdot)}(\log L)^{q(\cdot)}\)
• Conformal geometry and quasiregular mappings
• Traces of monotone Sobolev functions
• Electrorheological fluids: modeling and mathematical theory
• Lindelöf theorems for monotone Sobolev functions on uniform domains
• Lindelöf theorems for monotone Sobolev functions with variable exponent
• 𝐿log𝐿 results for the maximal operator in variable 𝐿^{𝑝} spaces
• Über konjugierte Exponentenfolgen
• Regularity theory and traces of 𝒜-harmonic functions
• Boundary behavior of monotone Sobolev functions on John domains in a metric space
• Traces of monotone functions in weighted Sobolev spaces
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