Smoothing of uniformly continuous mappings in \(L_ p\) spaces

DOI10.1007/BF01209562zbMath0821.46037OpenAlexW2083611744MaRDI QIDQ1337882

I. G. Tsar'kov

Publication date: 16 November 1994

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01209562

zbMATH Keywords

Hölder continuityHölder exponentHölder classesuniformly convex spacesapproximation of uniformly continuous mappingssuperreflexive spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30)

Related Items

Modulus of continuity and Lipschitz approximation, Reconstruction of the set of controls by measurements of the states of an evolution system, Chebyshev centres, Jung constants, and their applications, Perturbation of sets and centers

Cites Work

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• On the extension of Lipschitz-Hölder maps on $L^{P}$ spaces
• A Lipschitz Condition Preserving Extension for a Vector Function