On the Poisson representation of a function harmonic in the upper half-plane
Date
2002
Authors
Gergün, S.
Ostrovskii, I.
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Computational Methods and Function Theory
Print ISSN
1617-9447
Electronic ISSN
2195-3724
Publisher
Springer
Volume
2
Issue
1
Pages
191 - 213
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
Abstract
New conditions for the validity of the Poisson representation (in usual and generalized form) for a function harmonic in the upper half-plane are obtained. These conditions differ from known ones by weaker growth restrictions inside the half-plane and stronger restrictions on the behavior on the real axis.