scholarly journals Reproducing Kernels for Hardy and Bergman Spaces of the Upper Half Plane

2020 ◽  
pp. 13-23
Author(s):  
Job BONYO
Keyword(s):  
Half Plane ◽  
Bergman Spaces ◽  
Reproducing Kernels ◽  
Hardy And Bergman Spaces ◽  
Upper Half Plane

Cesàro-Like Operators on the Hardy and Bergman Spaces of the Half Plane

2015 ◽  
Vol 10 (1) ◽  
pp. 187-203 ◽  
Author(s):  
S. Ballamoole ◽  
J. O. Bonyo ◽  
T. L. Miller ◽  
V. G. Miller
Keyword(s):  
Half Plane ◽  
Bergman Spaces ◽  
Hardy And Bergman Spaces

Toeplitz Operators with Vertical Symbols Acting on the Poly-Bergman Spaces of the Upper Half-Plane. II

2019 ◽  
Vol 13 (5) ◽  
pp. 2443-2462 ◽  
Author(s):  
Josué Ramírez Ortega ◽  
María del Rosario Ramírez Mora ◽  
Armando Sánchez Nungaray
Keyword(s):  
Half Plane ◽  
Toeplitz Operators ◽  
Bergman Spaces ◽  
Upper Half Plane

scholarly journals Weighted Composition Operators from Weighted Bergman Spaces to Weighted-Type Spaces on the Upper Half-Plane

2011 ◽  
Vol 2011 ◽  
pp. 1-10 ◽  
Author(s):  
Stevo Stević ◽  
Ajay K. Sharma ◽  
S. D. Sharma
Keyword(s):  
Half Plane ◽  
Composition Operators ◽  
Bergman Spaces ◽  
Weighted Bergman Space ◽  
Weighted Bergman Spaces ◽  
Weighted Composition Operators ◽  
Type Spaces ◽  
Weighted Composition ◽  
Upper Half Plane ◽  
Weighted Type

Letψbe a holomorphic mapping on the upper half-planeΠ+={z∈ℂ:Jz>0}andφbe a holomorphic self-map ofΠ+. We characterize bounded weighted composition operators acting from the weighted Bergman space to the weighted-type space on the upper half-plane. Under a mild condition onψ, we also characterize the compactness of these operators.

scholarly journals Hausdorff operators on Bergman spaces of the upper half plane

2020 ◽  
Vol 7 (1) ◽  
pp. 69-80
Author(s):  
Georgios Stylogiannis
Keyword(s):  
Half Plane ◽  
Bergman Spaces ◽  
Upper Half Plane ◽  
Hausdorff Operators

AbstractIn this paper we study Hausdorff operators on the Bergman spaces Ap(𝕌) of the upper half plane.

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.

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