scholarly journals Schatten class Hankel operators on the Bergman spaces of strongly pseudoconvex domains

1993 ◽  
Vol 119 (4) ◽  
pp. 1211-1211 ◽  
Author(s):  
Huiping Li
Keyword(s):  
Bergman Spaces ◽  
Hankel Operators ◽  
Pseudoconvex Domains ◽  
Schatten Class ◽  
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.

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