On more general Lipschitz spaces

DOI10.4171/ZAA/980zbMath0998.46013OpenAlexW2029432013MaRDI QIDQ5926115

Haroske, Dorothee D.

Publication date: 5 July 2001

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/49540

zbMATH Keywords

logarithmic Lipschitz spacelogarithmic smoothnessTriebel-Lizorkin spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Lipschitz (Hölder) classes (26A16)

Related Items (16)

Duality for logarithmic interpolation spaces when \(0<q < 1\) and applications ⋮ Continuity envelopes of spaces of generalised smoothness, entropy and approximation numbers ⋮ Vortex motion for the lake equations ⋮ Unnamed Item ⋮ The calculation of the sum of the spaces of the K‐method of real interpolation ⋮ The superposition operator and Strauss lemma in logarithmic Besov spaces ⋮ Path regularity of the Brownian motion and the Brownian sheet ⋮ Restricting Riesz-logarithmic-Besov potentials ⋮ Optimal embeddings of spaces of generalized smoothness in the critical case ⋮ On Besov spaces of logarithmic smoothness and Lipschitz spaces ⋮ The logarithmic Sobolev capacity ⋮ Duality for logarithmic interpolation spaces and applications to Besov spaces ⋮ Spaces of generalized smoothness in the critical case: optimal embeddings, continuity envelopes and approximation numbers ⋮ Embeddings of function spaces: a criterion in terms of differences ⋮ Differentiability of logarithmic Besov functions in terms of capacities ⋮ Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations

Cites Work

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• Imbedding theorems for Lipschitz spaces generated by the weak-\(L^p\) metric
• Hydrodynamics in Besov spaces
• Weighted Lipschitz spaces and their analytic characterizations
• A note on limiting cases of sobolev embeddings and convolution inequalities
• Interpolation of Operators on Scales of Generalized Lorentz-Zygmund Spaces
• Lipschitz — Orlicz Spaces and the Laplace Equation
• Logarithmic Sobolev spaces on ℝn ; entropy numbers, and some applications

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