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, vol.276, no.2, pp.654-672, 2002 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 276 Issue: 2
  • Publication Date: 2002
  • Doi Number: 10.1016/s0022-247x(02)00412-2
  • Journal Name: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.654-672

Abstract

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.