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-Expanded) identifier identifier

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.