A circle homeomorphism is Weil-Petersson if and only if the Beltrami differential of its unique quasiconformal harmonic extension is square-integrable.
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2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
UNVERDICTED 2representative citing papers
Introduces conformally quasi-invariant Besov spaces on domains and characterizes chord-arc domains by isomorphism of first-order and boundary Besov spaces, extending the p=2 Dirichlet case to 1<p<∞.
citing papers explorer
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Harmonic extension of Weil-Petersson circle homeomorphisms
A circle homeomorphism is Weil-Petersson if and only if the Beltrami differential of its unique quasiconformal harmonic extension is square-integrable.
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Conformally Invariant Besov Spaces on Chord-Arc Domains
Introduces conformally quasi-invariant Besov spaces on domains and characterizes chord-arc domains by isomorphism of first-order and boundary Besov spaces, extending the p=2 Dirichlet case to 1<p<∞.