Approximation in weighted Bergman spaces and Hankel operators on strongly pseudoconvex domains

2020 ◽  
Author(s):  
Jinshou Gao ◽  
Zhangjian Hu
Keyword(s):  
Bergman Spaces ◽  
Hankel Operators ◽  
Weighted Bergman Spaces ◽  
Pseudoconvex Domains ◽  
Strongly Pseudoconvex Domains

Hankel Operators on Pseudoconvex Domains of Finite Type in ℂ2

1998 ◽  
Vol 50 (3) ◽  
pp. 658-672 ◽  
Author(s):  
Frédéric Symesak
Keyword(s):  
Hardy Space ◽  
Finite Type ◽  
Pseudoconvex Domain ◽  
Bergman Spaces ◽  
Hankel Operators ◽  
Weighted Bergman Spaces ◽  
Pseudoconvex Domains ◽  
Sufficient Condition ◽  
Schatten Class ◽  
Strictly Pseudoconvex Domain

AbstractThe aimof this paper is to study small Hankel operators h on the Hardy space or on weighted Bergman spaces,where Ω is a finite type domain in ℂ2 or a strictly pseudoconvex domain in ℂn. We give a sufficient condition on the symbol ƒ so that h belongs to the Schatten class Sp, 1 ≤ p < +∞.

Essential norm estimates of weighted composition operators between Bergman spaces on strongly pseudoconvex domains

2007 ◽  
Vol 142 (3) ◽  
pp. 525-533 ◽  
Author(s):  
ŽELJKO ČUČKOVIĆ ◽  
RUHAN ZHAO
Keyword(s):  
Composition Operators ◽  
Bergman Spaces ◽  
Essential Norm ◽  
Pseudoconvex Domains ◽  
Weighted Composition Operators ◽  
Norm Estimates ◽  
Strongly Pseudoconvex Domains ◽  
Weighted Composition

AbstractWe give estimates of the essential norms of weighted composition operators acting between Bergman spaces on strongly pseudoconvex domains. We also characterize boundedness and compactness of these operators.

Hankel Operators on Weighted Bergman Spaces

1988 ◽  
Vol 110 (6) ◽  
pp. 989 ◽  
Author(s):  
J. Arazy ◽  
S. D. Fisher ◽  
J. Peetre
Keyword(s):  
Bergman Spaces ◽  
Hankel Operators ◽  
Weighted Bergman Spaces
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