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\(L^ p\)-integrability of derivatives of Riemann mappings on Ahlfors-David regular curves

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Publication:1326648
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DOI10.1007/BF03008425zbMath0849.30006OpenAlexW2066023598MaRDI QIDQ1326648

Byron L. Walden

Publication date: 18 May 1994

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03008425

zbMATH Keywords

harmonic measureconformal mapsAhlfors-David curves


Mathematics Subject Classification ID

General theory of conformal mappings (30C35)




Cites Work

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  • A counterexample concerning integrability of derivatives of conformal mappings
  • Harmonic measure and arclength
  • Rectifiable sets and the traveling salesman problem
  • Length of curves under conformal mappings
  • Quasilines and conformal mappings
  • Level sets of univalent functions
  • Level sets of infinite length
  • Harmonic measure, \(L^ 2\) estimates and the Schwarzian derivative
  • The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
  • The Hayman-Wu Constant
  • Harmonic Measure and Conformal Length
  • Weighted norm inequalities for maximal functions and singular integrals
  • Hardy spaces, $A_\infty$, and singular integrals on chord-arc domains
  • Estimates of harmonic measures
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