A dual characterization of the \(\mathcal C^1\) harmonic capacity and applications

DOI10.1215/00127094-2010-019zbMath1196.31002arXiv0903.3616OpenAlexW1977328454MaRDI QIDQ974795

Albert Mas, Xavier Tolsa, Mark S. Melnikov

Publication date: 7 June 2010

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

Full work available at URL: https://arxiv.org/abs/0903.3616

zbMATH Keywords

harmonic functionLipschitz harmonic capacity\(C^{1}\) harmonic capacity

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (1)

Erratum to: ``A dual characterization of the \({\mathcal C}^1\) harmonic capacity and applications

Cites Work

• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Unrectifiable 1-sets have vanishing analytic capacity
• On a annihilators of harmonic vector fields
• Analytic capacity, rectifiability, Menger curvature and the Cauchy integral
• Painlevé's problem and the semiadditivity of analytic capacity.
• On geometric properties of harmonic \(\text{Lip}_ 1\)-capacity
• Analytic capacity and measure
• Bounded analytic functions
• Estimate of the Normal Derivative Over the Boundary of Lipschitz Domains
• Characterization and semiadditivity of the $\mathcal C^1$-harmonic capacity
• On the analytic capacity gamma_+
• Analytic Extensions of Differentiable Functions Defined in Closed Sets
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