Title of article :
Gleason’s problem and homogeneous
interpolation in Hardy and Dirichlet-type
spaces of the ball
Author/Authors :
Daniel Alpay، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2002
Abstract :
We solve Gleason’s problem in the reproducing kernel Hilbert spaces with reproducing
kernels 1/(1 − N1
zjwj )r for real r > 0 and their counterparts for r 0, and study the
homogeneous interpolation problem in these spaces.
2002 Elsevier Science (USA). All rights reserved.
Keywords :
Weighted Hardy space , Schur multiplier , Gleason’s problem , Shift and resolvent , Homogeneous interpolation , Dirichlet-type space , Reproducing kernel Hilbert space
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
