Hankel Operators on Bergman Spaces of Tube Domains over Symmetric Cones

2008 ◽  
Vol 62 (2) ◽  
pp. 233-245 ◽  
Author(s):  
Benoit Florent Sehba
Keyword(s):  
Bergman Spaces ◽  
Hankel Operators ◽  
Symmetric Cones ◽  
Tube Domains

scholarly journals Embedding relations and boundedness of the multifunctional operators in tube domains over symmetric cones

Filomat ◽  
2011 ◽  
Vol 25 (4) ◽  
pp. 109-126 ◽  
Author(s):  
Milos Arsenovic ◽  
Romi Shamoyan
Keyword(s):  
Hardy Spaces ◽  
Bergman Spaces ◽  
Bergman Projection ◽  
Symmetric Cones ◽  
Mixed Norm ◽  
Sufficient Condition ◽  
General Sufficient Condition ◽  
Tube Domains

We obtain a new general sufficient condition for the continuity of the Bergman projection in tube domains over symmetric cones using multifunctional embeddings. We also obtain some sharp embedding relations between the generalized Hilbert-Hardy spaces and the mixed-norm Bergman spaces in this setting.

scholarly journals On Bergman-type spaces in tubular domains over symmetric cones

2020 ◽  
pp. 22-29
Author(s):  
Romi Shamoyan
Keyword(s):  
Bergman Spaces ◽  
Integral Operators ◽  
Integral Condition ◽  
Symmetric Cones ◽  
Type Integral ◽  
Tube Domains ◽  
Type Spaces ◽  
Atomic Type ◽  
Type Decomposition

Some properties of new Bergman-type integral operators on product of the tube domains are obtained. An integral condition in tube to get atomic-type decomposition in multifunctional analytic Bergman spaces in tube domains over symmetric cones are provided.

scholarly journals Weighted BMO and Hankel operators between Bergman spaces

2016 ◽  
Vol 65 (5) ◽  
pp. 1639-1673 ◽  
Author(s):  
Jordi Pau ◽  
Ruhan Zhao ◽  
Kehe Zhu
Keyword(s):  
Bergman Spaces ◽  
Hankel Operators ◽  
Weighted Bmo

The effect of boundary geometry on Hankel operators belonging to the trace ideals of Bergman spaces

1997 ◽  
Vol 28 (2) ◽  
pp. 196-213 ◽  
Author(s):  
Steven G. Krantz ◽  
Song-Ying Li ◽  
Richard Rochberg
Keyword(s):  
Bergman Spaces ◽  
Hankel Operators ◽  
Boundary Geometry

Toeplitz and Hankel Operators on Bergman Spaces

2021 ◽  
pp. 51-57
Author(s):  
M. Bourass ◽  
O. El-Fallah ◽  
I. Marrhich ◽  
H. Naqos
Keyword(s):  
Bergman Spaces ◽  
Hankel Operators
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