On the Poisson representation of a function harmonic in the upper half-plane

Gergün S., Ostrovski I.

JOURNAL OF MATHEMATICAL PHYSICS, ANALYSIS, GEOMETRY, cilt.9, sa.2, ss.243-248, 2002 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 2
  • Basım Tarihi: 2002
  • Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS, ANALYSIS, GEOMETRY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.243-248
  • Dokuz Eylül Üniversitesi Adresli: Hayır

Özet

New conditions of 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 in the neighbourhood of the real axis.