Boundary behavior of monotone Sobolev functions in Orlicz spaces on John domains in a metric space
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Publication:1651366
DOI10.1007/s12220-017-9860-xzbMath1395.30060OpenAlexW2611616352MaRDI QIDQ1651366
Tetsu Shimomura, Toshihide Futamura
Publication date: 12 July 2018
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12220-017-9860-x
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Analysis on metric spaces (30L99)
Related Items (4)
Boundary limits of monotone Sobolev functions for double phase functionals ⋮ Boundary limits of monotone Sobolev functions on metric spaces ⋮ Boundedness of generalized fractional integral operators on Orlicz spaces near $L^1$ over metric measure spaces ⋮ Boundary growth of Sobolev functions of monotone type for double phase functionals
Cites Work
- Is an Orlicz-Poincaré inequality an open ended condition, and what does that mean?
- Nonlinear potential theory on metric spaces
- On the existence of weighted boundary limits of harmonic functions
- On the boundary limits of harmonic functions
- Conformal geometry and quasiregular mappings
- Weakly monotone functions
- Traces of monotone Sobolev functions
- Boundary limits for bounded quasiregular mappings
- Absolutely continuous curves in extended Wasserstein−Orlicz spaces
- Sobolev met Poincaré
- Differentiability and Holder continuity of Riesz potentials of Orlicz functions
- Boundary limits of polyharmonic functions in sobolev-orlicz spaces
- 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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