Singular integrals on \(C_{w^\ast}^{1,\alpha}\) regular curves in Banach duals

DOI10.1007/s43034-022-00178-5zbMath1494.42020arXiv2012.12984OpenAlexW3116819289WikidataQ114216221 ScholiaQ114216221MaRDI QIDQ2134734

Scott Zimmerman

Publication date: 3 May 2022

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.12984

zbMATH Keywords

singular integral operatorBanach space\(w^\ast\)-derivativegood lambda

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Geometric embeddings of metric spaces (30L05) Operators on Banach spaces (47B01)

Cites Work

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• Analytic capacity, the Cauchy transform, and non-homogeneous Calderón-Zygmund theory
• L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
• Lectures on analysis on metric spaces
• Rectifiable sets in metric and Banach spaces
• The Cauchy integral, analytic capacity, and uniform rectifiability
• Singular integrals on regular curves in the Heisenberg group
• Boundedness of singular integrals on \(C^{1,{\alpha}}\) intrinsic graphs in the Heisenberg group
• Nonnegative kernels and 1-rectifiability in the Heisenberg group
• Singular integrals on Ahlfors-David regular subsets of the Heisenberg group
• Banach space theory. The basis for linear and nonlinear analysis
• Existence of doubling measures via generalised nested cubes
• Opérateurs intégraux singuliers sur certaines courbes du plan complexe
• Opérateurs d'intégrale singulière sur les surfaces régulières
• Cauchy integrals on Lipschitz curves and related operators
• Applications of ultrapowers to the uniform and Lipschitz classification of Banach spaces
• Intrinsic Lipschitz Graphs and Vertical β-Numbers in the Heisenberg Group

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