Lipschitz continuity for weighted harmonic functions in the unit disc

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Abstract

We study membership in Lipschitz classes (Formula presented.) for a class of α-harmonic functions in the open unit disc (Formula presented.) in the complex plane. From earlier work by Olofsson and Wittsten we know that such an α-harmonic function u is the α-harmonic Poisson integral (Formula presented.) of its boundary value function f on the unit circle (Formula presented.). We determine when the Poisson integral (Formula presented.) belongs to a Lipschitz class (Formula presented.) for the unit disc.

Detaljer

Författare
Enheter & grupper
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik

Nyckelord

Originalspråkengelska
Sidor (från-till)1630-1660
Antal sidor31
TidskriftComplex Variables and Elliptic Equations
Volym65
Utgåva nummer10
Tidigt onlinedatum2019 sep 27
StatusPublished - 2020
PublikationskategoriForskning
Peer review utfördJa