Characterization of the variable exponent Sobolev norm without derivatives

DOI10.1142/S021919971650022XzbMath1408.46035OpenAlexW2287444791MaRDI QIDQ2981866

Ana Margarida Ribeiro, Peter A. Hästö

Publication date: 10 May 2017

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021919971650022x

zbMATH Keywords

Sobolev spaceaveraging operatorsvariable exponentnon-standard growthGagliardo semi-norm

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (6)

Multiplicity of solutions for a class of fractional \(p(x,\cdot)\)-Kirchhoff-type problems without the Ambrosetti-Rabinowitz condition ⋮ New characterizations of Musielak-Orlicz-Sobolev spaces via sharp ball averaging functions ⋮ Characterization of generalized Orlicz spaces ⋮ Bourgain-Brezis-Mironescu formula for \(W^{s, p}_q\)-spaces in arbitrary domains ⋮ Bourgain-Brezis-Mironescu domains ⋮ Characterizations of Sobolev spaces with variable exponent via averages on balls

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinear total variation based noise removal algorithms
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Lebesgue and Sobolev spaces with variable exponents
• Besov spaces with variable smoothness and integrability
• Variable exponent functionals in image restoration
• Function spaces of variable smoothness and integrability
• Critical variable exponent functionals in image restoration
• Limiting embedding theorems for \(W^{s,p}\) when \(s\uparrow 1\) and applications
• Minimizers of the variable exponent, non-uniformly convex Dirichlet energy
• A MEAN CONTINUITY TYPE RESULT FOR CERTAIN SOBOLEV SPACES WITH VARIABLE EXPONENT
• Can the Nonlocal Characterization of Sobolev Spaces by Bourgain et al. Be Useful for Solving Variational Problems?
• Variable exponent trace spaces
• Variable Exponent, Linear Growth Functionals in Image Restoration

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