Blaschke Products and Zero Sets in Weighted Dirichlet Spaces

2019 ◽  
Vol 53 (4) ◽  
pp. 1299-1316
Author(s):  
H. Bahajji-El Idrissi ◽  
O. El-Fallah
Keyword(s):  
Blaschke Products ◽  
Dirichlet Spaces ◽  
Zero Sets ◽  
Weighted Dirichlet Spaces

Inner functions as multipliers and zero sets in weighted Dirichlet spaces

2020 ◽  
Vol 27 (4) ◽  
pp. 655-660
Author(s):  
Liu Yang
Keyword(s):  
Weight Function ◽  
Dirichlet Spaces ◽  
Inner Functions ◽  
Zero Sets ◽  
Weighted Dirichlet Spaces

AbstractIn this note, using some conditions on the weight function K, we investigate the inner functions as multipliers in weighted Dirichlet spaces, and we also discuss zero sets.

A boundary norm for weighted Dirichlet spaces

2018 ◽  
Vol 7 (1) ◽  
pp. 19-26
Author(s):  
Berhanu Kidane ◽  
Christopher Serkan
Keyword(s):  
Dirichlet Spaces ◽  
Weighted Dirichlet Spaces

scholarly journals Normal weighted composition operators on weighted Dirichlet spaces

2015 ◽  
Vol 423 (1) ◽  
pp. 758-769 ◽  
Author(s):  
Lu Li ◽  
Yukihide Nakada ◽  
Douglas Nestor ◽  
Wendy Shang ◽  
Rachel Weir
Keyword(s):  
Composition Operators ◽  
Weighted Composition Operators ◽  
Dirichlet Spaces ◽  
Weighted Dirichlet Spaces ◽  
Weighted Composition

scholarly journals Integral operator acting on weighted Dirichlet spaces to Morrey type spaces

Filomat ◽  
2019 ◽  
Vol 33 (12) ◽  
pp. 3723-3736
Author(s):  
Liu Yang
Keyword(s):  
Integral Operator ◽  
Carleson Measure ◽  
Integral Operators ◽  
Essential Norm ◽  
Dirichlet Spaces ◽  
Type Spaces ◽  
Weighted Dirichlet Spaces

In this paper, we studied the boundedness and compactedness of integral operators from weighted Dirichlet spaces DK to Morrey type spaces H2K. Carleson measure and essential norm were also considered.

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