On the Poisson Representation of a Function Harmonic in the Upper Half-Plane

Gergün S., Ostrovski I.

COMPUTATIONAL METHODS AND FUNCTION THEORY, cilt.2, ss.191-213, 2002 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2
  • Basım Tarihi: 2002
  • Dergi Adı: COMPUTATIONAL METHODS AND FUNCTION THEORY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.191-213
  • Dokuz Eylül Üniversitesi Adresli: Hayır

Özet

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.