Hölder-Zygmund classes on smooth curves

DOI10.4171/ZAA/1704MaRDI QIDQ2107775

Armin Rainer

Publication date: 2 December 2022

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

Full work available at URL: https://arxiv.org/abs/2203.04191

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Continuity and differentiation questions (26B05) Continuous and differentiable maps in nonlinear functional analysis (46T20) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Differentiable maps on manifolds (58C25) Differentiability questions for infinite-dimensional manifolds (58B10)

Cites Work

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• Many parameter Hölder perturbation of unbounded operators
• Lipschitz spaces, smoothness of functions, and approximation theory
• The Zygmund Morse-Sard theorem
• Regularity of the composition operator in spaces of Hölder functions
• Functional Calculus in Hölder-Zygmund Spaces
• Arc-smooth functions on closed sets
• On groups of Hölder diffeomorphisms and their regularity
• Differentiability of a Function and of its Compositions with Functions of One Variable.

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