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The range of Hardy numbers for comb domains

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Publication:2100148
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DOI10.1007/s40315-021-00426-0OpenAlexW3204559632WikidataQ114219235 ScholiaQ114219235MaRDI QIDQ2100148

Christina Karafyllia

Publication date: 21 November 2022

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.01783


zbMATH Keywords

Hardy spacescomb domainsexit time of Brownian motionHardy number


Mathematics Subject Classification ID

Brownian motion (60J65) (H^p)-spaces (42B30) Hardy spaces (30H10)




Cites Work

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  • The collected works of Arne Beurling. Volume 1: Complex analysis. Volume 2: Harmonic analysis. Ed. by Lennart Carleson, Paul Malliavin, John Neuberger, John Wermer
  • Exit times of Brownian motion, harmonic majorization, and Hardy spaces
  • The Hardy class of Koenigs maps
  • On the Hardy number of a domain in terms of harmonic measure and hyperbolic distance
  • Hardy classes and ranges of functions
  • The Hardy class of a spiral-like function
  • Hardy spaces and unbounded quasidisks
  • On the Hardy number of comb domains
  • Hardy spaces and twisted sectors for geometric models
  • On the finiteness of moments of the exit time of planar Brownian motion from comb domains


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