On nonlinear integro-differential operators in generalized Orlicz-Sobolev spaces

DOI10.1006/JATH.2000.3463zbMath0961.46022OpenAlexW2068517710MaRDI QIDQ1583969

Gianluca Vinti, Carlo Bardaro, Julian Musielak

Publication date: 29 May 2001

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2000.3463

zbMATH Keywords

existenceembeddingapproximationOrlicz-Sobolev spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Integral operators (47G10) Approximation by operators (in particular, by integral operators) (41A35) Modular spaces (46A80)

Cites Work

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• Orlicz spaces and modular spaces
• Approximation by nonlinear integral operators in some modular function spaces
• Modular estimates for nonlinear integral operators and applications in fractional calculus

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