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Dirichlet's problem and Sokhotski-Plemelj's jump formula on Weil-Petersson-Class quasidisks
2016 (English)In: Annales Academiae Scientiarum Fennicae Mathematica, ISSN 1239-629X, E-ISSN 1798-2383Article in journal (Refereed) Published
Abstract [en]

We show the solvability of the Dirichlet problem on Weil–Petersson class quasidisks and establish a Sokhotski–Plemelj jump formula for Weil–Petersson class quasicircles. Furthermore we show that the resulting Cauchy projections are bounded. In both cases the boundary data belongs to a certain conformally invariant Besov space. Moreover we show that the WP-class quasicircles are chord-arc curves.

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Mathematical Analysis
URN: urn:nbn:se:uu:diva-285984OAI: oai:DiVA.org:uu-285984DiVA: diva2:921399
Available from: 2016-04-20 Created: 2016-04-20 Last updated: 2016-09-28

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Staubach, Wolfgang
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