Gleason's problem and homogeneous interpolation in Hardy and Dirichlet-type spaces of the ball


Alpay D., Kaptanoglu H.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.276, sa.2, ss.654-672, 2002 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 276 Konu: 2
  • Basım Tarihi: 2002
  • Doi Numarası: 10.1016/s0022-247x(02)00412-2
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Sayfa Sayıları: ss.654-672

Özet

We solve Gleason's problem in the reproducing kernel Hilbert spaces with reproducing kernels 1/(1 - Sigma(1)(N) z(j) (W) over bar (j))(r) for real r > 0 and their counterparts for r less than or equal to 0, and study the, I homogeneous interpolation problem in these spaces. (C) 2002 Elsevier Science (USA). All rights reserved.