Pointwise behaviour of Orlicz-Sobolev functions
From MaRDI portal
Publication:731383
DOI10.1007/s10231-008-0065-6zbMath1183.46035OpenAlexW1981118017WikidataQ109992673 ScholiaQ109992673MaRDI QIDQ731383
Publication date: 2 October 2009
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-008-0065-6
Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Continuity and differentiation questions (26B05) Analysis on metric spaces (30L99)
Related Items (10)
Lebesgue Points for Orlicz-Sobolev Functions on Metric Measure Spaces ⋮ A Poincaré inequality for Orlicz-Sobolev functions with zero boundary values on metric spaces ⋮ Density of Lipschitz functions in energy ⋮ Mappings generating embedding operators in Orlicz-Sobolev spaces ⋮ Correction theorem for Sobolev spaces constructed by a symmetric space ⋮ Local boundedness for minimizers of convex integral functionals in metric measure spaces ⋮ Orlicz-Sobolev extensions and measure density condition ⋮ Orlicz-Sobolev embeddings, extensions and Orlicz-Poincaré inequalities ⋮ A generalization of Orlicz–Sobolev spaces on metric measure spaces via Banach function spaces ⋮ The Dirichlet problem for Orlicz-Sobolev mappings between metric spaces
Cites Work
- Hölder type quasicontinuity
- Strongly nonlinear potential theory on metric spaces
- A direct approach to Orlicz-Sobolev capacity
- Extremal length and functional completion
- A decomposition into atoms of distributions on spaces of homogeneous type
- On the Orlicz-Sobolev imbedding theorem
- Quasiconformal maps in metric spaces with controlled geometry
- An extension of Hedberg's convolution inequality and applications
- Hölder quasicontinuity of Sobolev functions on metric spaces
- The Hardy-Littlewood maximal function of a Sobolev function
- Lebesgue points for Sobolev functions on metric spaces.
- Differentiation bases for Sobolev functions on metric spaces
- Another extension of Orlicz--Sobolev spaces to metric spaces
- Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
- Mappings of finite distortion: sharp Orlicz-conditions
- Sobolev spaces on an arbitrary metric space
- Finding curves on general spaces through quantitative topology, with applications to Sobolev and Poincaré inequalities
- Differentiability properties of Orlicz-Sobolev functions
- Pointwise behaviour of \(M^{1,1}\) Sobolev functions
- Orlicz-Sobolev spaces and imbedding theorems
- Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
- Orlicz capacities and Hausdorff measures on metric spaces
- Fine behavior of functions whose gradients are in an Orlicz space
- Strong and Weak Type Inequalities for Some Classical Operators in Orlicz Spaces
- Orlicz capacities and applications to some existence questions for elliptic pdes having measure data
- Sobolev met Poincaré
- Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces
- Sobolev imbedding theorems in borderline cases
- Mappings of finite distortion: Monotonicity and continuity
- Harmonic functions on metric spaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Pointwise behaviour of Orlicz-Sobolev functions
