\(C^{1, \omega }\) extension formulas for $1$-jets on Hilbert spaces

DOI10.1016/j.aim.2021.107928zbMath1484.46081arXiv1912.13317OpenAlexW3186261241WikidataQ113881018 ScholiaQ113881018MaRDI QIDQ2048635

Daniel Azagra, Carlos Mudarra

Publication date: 23 August 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.13317

zbMATH Keywords

Hilbert spaceWhitney extension theorem\( C^{1\omega}\) functions

Mathematics Subject Classification ID

Continuity and differentiation questions (26B05) Convexity of real functions of several variables, generalizations (26B25) Continuous and differentiable maps in nonlinear functional analysis (46T20) Inner product spaces and their generalizations, Hilbert spaces (46C99)

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On Whitney-type extension theorems on Banach spaces for \(C^{1, \omega}, C^{1,+}, C_{\operatorname{loc}}^{1, +}\), and \(C_{\operatorname{B}}^{1, +}\)-smooth functions

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