Representation of subharmonic functions in the half-ring and in the half-disk

DOI10.22405/2226-8383-2023-24-5-136-152MaRDI QIDQ6500277

Alena Aleksandrovna Naumova, Konstantin G. Malyutin

Publication date: 10 May 2024

Published in: Chebyshevskiĭ Sbornik (Search for Journal in Brave)

zbMATH Keywords

singular measureboundary measuresubharmonic functionhalf-planeRiesz measureCarleman formulafull measurehalf-diskhalf-ringLevin formula

Mathematics Subject Classification ID

Potential theory (31-XX) Functions of a complex variable (30-XX)

Cites Work

• Multiple interpolation by the functions of finite order in the half-plane
• Riemann's boundary problem with infinite index. Introduction, appendix and editing by I. V. Ostrovskij. Transl. from the Russian by Yu. I. Lyubarskij
• Multiple interpolation by the functions of finite order in the half-plane. II
• On topologies and boundaries in potential theory. Enlarged ed. of a course of lectures delivered in 1966
• Fourier series and $ \delta$-subharmonic functions of finite $ \gamma$-type in a half-plane
• THE PROBLEM OF MULTIPLE INTERPOLATION IN THE HALF-PLANE IN THE CLASS OF ANALYTIC FUNCTIONS OF FINITE ORDER AND NORMAL TYPE
• Sets of regular growth of functions in the half-plane. I
• Sets of regular growth of functions in a half-plane. II
• The interpolation problem in the spaces of analytical functions of finite order in the half-plane
• Интегралы и индикаторы субгармонических функций. I
• Geometric meaning of the interpolation conditions in the class of functions of finite order in the half-plane
• Representation of subharmonic functions in a half-plane
• Subharmonic Functions in the Half-Plane
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