scholarly journals Inner functions in weighted Hardy spaces

2020 ◽  
Vol 10 (2) ◽  
Author(s):  
Trieu Le
Keyword(s):  
Hardy Spaces ◽  
Inner Functions ◽  
Weighted Hardy Spaces

scholarly journals Toeplitz operators with PQC symbols on weighted Hardy spaces

1991 ◽  
Vol 97 (1) ◽  
pp. 194-214 ◽  
Author(s):  
Albrecht Böttcher ◽  
Ilya M Spitkovsky
Keyword(s):  
Hardy Spaces ◽  
Toeplitz Operators ◽  
Weighted Hardy Spaces

scholarly journals WEIGHTED HARDY SPACES ASSOCIATED WITH OPERATORS SATISFYING REINFORCED OFF-DIAGONAL ESTIMATES

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

scholarly journals Factorizations of outer functions and extremal problems

1996 ◽  
Vol 39 (3) ◽  
pp. 535-546 ◽  
Author(s):  
Takahiko Nakazi
Keyword(s):  
Hardy Space ◽  
Hardy Spaces ◽  
Extremal Problems ◽  
The Other ◽  
Outer Function ◽  
Inner Functions ◽  
Special Case ◽  
Class Of Functions

The author has proved that an outer function in the Hardy space H1 can be factored into a product in which one factor is strongly outer and the other is the sum of two inner functions. In an endeavor to understand better the latter factor, we introduce a class of functions containing sums of inner functions as a special case. Using it, we describe the solutions of extremal problems in the Hardy spaces Hp for 1≦p<∞.

scholarly journals Spatial Numerical Range of Operators on Weighted Hardy Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-8 ◽  
Author(s):  
Abdolaziz Abdollahi ◽  
Mohammad Taghi Heydari
Keyword(s):  
Hardy Spaces ◽  
Finite Rank ◽  
Numerical Range ◽  
Compact Operators ◽  
Weighted Hardy Spaces ◽  
Finite Rank Operators

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.

Calderón–Zygmund Operators on Weighted Hardy Spaces

2012 ◽  
Vol 38 (3) ◽  
pp. 699-709 ◽  
Author(s):  
Ming-Yi Lee
Keyword(s):  
Hardy Spaces ◽  
Weighted Hardy Spaces
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