Mackey topologies, reproducing kernels, and diagonal maps on the Hardy and Bergman spaces

1976 ◽  
Vol 43 (1) ◽  
pp. 187-202 ◽  
Author(s):  
Joel H. Shapiro
Keyword(s):  
Bergman Spaces ◽  
Reproducing Kernels ◽  
Hardy And Bergman Spaces ◽  
Mackey Topologies

On the Recovery of Analytic Functions

1996 ◽  
Vol 48 (2) ◽  
pp. 288-301
Author(s):  
Joseph A. Cima ◽  
Michael Stessin
Keyword(s):  
Banach Space ◽  
Analytic Function ◽  
Analytic Functions ◽  
Bergman Spaces ◽  
Reproducing Kernels ◽  
Hardy And Bergman Spaces ◽  
The Given ◽  
Principal Method ◽  
Spaces Of Analytic Functions ◽  
Uniqueness Set

AbstractIn this paper we consider questions of recapturing an analytic function in a Banach space from its values on a uniqueness set. The principal method is to use reproducing kernels to construct a sequence in the Banach space which converges in norm to the given functions. The method works for several classical Banach spaces of analytic functions including some Hardy and Bergman spaces.

scholarly journals Monsters in Hardy and Bergman Spaces

2002 ◽  
Vol 47 (5) ◽  
pp. 373-382 ◽  
Author(s):  
L. Bernal-González ◽  
M.C. Calderón-Moreno
Keyword(s):  
Bergman Spaces ◽  
Hardy And Bergman Spaces
Sign in / Sign up

Export Citation Format

Share Document