Gleason's problem and homogeneous interpolation in Hardy and Dirichlet-type spaces of the ball
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.276, no.2, pp.654-672, 2002 (SCI-Expanded, Scopus)
- 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 (SCI-EXPANDED), Scopus
- Page Numbers: pp.654-672
- Middle East Technical University Affiliated: No
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.