Characterization of Orlicz--Sobolev space
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Publication:942018
DOI10.1007/s11512-006-0023-8zbMath1166.46308OpenAlexW2101269727WikidataQ109992696 ScholiaQ109992696MaRDI QIDQ942018
Publication date: 3 September 2008
Published in: Arkiv för Matematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11512-006-0023-8
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) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (9)
On finite lipschitz Orlicz Sobolev classes ⋮ Differentiability and Poincaré-type inequalities in metric measure spaces ⋮ Toward the theory of Orlicz–Sobolev classes ⋮ Characterizations of Orlicz-Sobolev spaces by means of generalized Orlicz-Poincaré inequalities ⋮ Mappings generating embedding operators in Orlicz-Sobolev spaces ⋮ On grand Sobolev spaces and pointwise description of Banach function spaces ⋮ Is an Orlicz-Poincaré inequality an open ended condition, and what does that mean? ⋮ Characterizing spaces satisfying Poincaré inequalities and applications to differentiability ⋮ A density result on Orlicz-Sobolev spaces in the plane
Cites Work
- Lectures on analysis on metric spaces
- Definitions of Sobolev classes on metric spaces
- Vanishing exponential integrability for functions whose gradients belong to \(L^n(\log(e+L))^{\alpha}\)
- Mappings of finite distortion: sharp Orlicz-conditions
- Sobolev spaces on an arbitrary metric space
- A new poincaré inequality and its application to the regularity of minimizers of integral functionals with nonstandard growth
- Sobolev met Poincaré
- Capacity estimates
- A new characterization of the Sobolev space
- Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces
- Sobolev imbedding theorems in borderline cases
- Mappings of finite distortion: Monotonicity and continuity
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