scholarly journals On the atomic and molecular decomposition of weighted Hardy spaces

Author(s):  
Pablo Rocha
1991 ◽  
Vol 97 (1) ◽  
pp. 194-214 ◽  
Author(s):  
Albrecht Böttcher ◽  
Ilya M Spitkovsky

2013 ◽  
Vol 17 (4) ◽  
pp. 1127-1166 ◽  
Author(s):  
The Anh Bui ◽  
Jun Cao ◽  
Luong Dang Ky ◽  
Dachun Yang ◽  
Sibei Yang

Author(s):  
Abdolaziz Abdollahi ◽  
Mohammad Taghi Heydari

We consider the spatial numerical range of operators on weighted Hardy spaces and give conditions for closedness of numerical range of compact operators. We also prove that the spatial numerical range of finite rank operators on weighted Hardy spaces is star shaped; though, in general, it does not need to be convex.


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