Gleason's Problem and Homogeneous Interpolation in the Hardy Space of the Ball and in Related Reproducing Kernel Hilbert Spaces

Authors

Daniel Alpay, Chapman UniversityFollow
H. Turgay Kaptanoğlu, Middle East Technical University

Document Type

Article

Publication Date

12-15-2002

Abstract

We solve Gleason's problem in the reproducing kernel Hilbert spaces with reproducing kernels 1/(1−∑1Nzjwj)r for real r>0 and their counterparts for r⩽0, and study the homogeneous interpolation problem in these spaces.

Comments

This article was originally published in Journal of Mathematical Analysis and Applications, volume 276, issue 2, in 2002. DOI: 10.1016/S0022-247X(02)00412-2

Recommended Citation

D. Alpay and H.T. Kaptanoglu. Gleason's Problem and Homogeneous Interpolation in the Hardy Space of the Ball and in Related Reproducing Kernel Hilbert Spaces. Journal of Mathematical Analysis and Applications, Volume 276, Issue 2, 15 December 2002, Pages 654-672.

Peer Reviewed

1

Copyright

Elsevier