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Lipschitz harmonic capacity and bilipschitz images of Cantor sets

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Publication:862063
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DOI10.4310/MRL.2006.V13.N6.A3zbMath1108.31005OpenAlexW2053460841MaRDI QIDQ862063

Xavier Tolsa, Laura Prat, John B. Garnett

Publication date: 5 February 2007

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/mrl.2006.v13.n6.a3


zbMATH Keywords

Lipschitz harmonic functionsLipschitz harmonic capacitybilipschitz homeomorphism


Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)


Related Items (4)

Principal values for Riesz transforms and rectifiability ⋮ Calderón-Zygmund capacities and Wolff potentials on Cantor sets ⋮ Principal values for the signed Riesz kernels of non-integer dimension ⋮ Some Calderón-Zygmund kernels and their relations to Wolff capacities and rectifiability







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