On removal of periods of conjugate functions in multiply connected domains

DOI10.1307/mmj/1029003081zbMath0592.30045OpenAlexW2015403044MaRDI QIDQ1075464

Dmitry Khavinson

Publication date: 1984

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029003081

zbMATH Keywords

Poisson integralmultiply connected domainsboundary behaviourNevanlinna classesperiods of the conjugate harmonic functions

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25)

Related Items (12)

Simply invariant subspaces of \(H^2\) of some multiply connected regions ⋮ Boundary integral formula for harmonic functions on Riemann surfaces ⋮ Analytic functions in Smirnov classes \(E^p\) with real boundary values. II ⋮ The Szegő kernel and proper holomorphic mappings to a half plane ⋮ The structure of the semigroup of proper holomorphic mappings of a planar domain to the unit disc ⋮ Rational Ahlfors functions ⋮ Blaschke product for bordered surfaces ⋮ The Schwarz problem in multiply connected domains and the Schottky–Klein prime function ⋮ Some questions on \(L^1\)-approximation in Bergman spaces ⋮ On the concept of inner function in Hardy and Bergman spaces in multiply connected domains ⋮ A note on electrified droplets ⋮ Factorization of univalent analytic functions on compact Riemann surfaces with boundary

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