scholarly journals Volterra Type Operators on Weighted Dirichlet Spaces

2021 ◽  
Vol 42 (4) ◽  
pp. 601-612
Author(s):  
Qingze Lin
Keyword(s):  
Dirichlet Spaces ◽  
Volterra Type ◽  
Weighted Dirichlet Spaces

scholarly journals Hadamard Multipliers on Weighted Dirichlet Spaces

2019 ◽  
Vol 91 (6) ◽  
Author(s):  
Javad Mashreghi ◽  
Thomas Ransford
Keyword(s):  
Dirichlet Spaces ◽  
Weighted Dirichlet Spaces

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

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 Blaschke condition and zero sets in weighted Dirichlet spaces

2012 ◽  
Vol 50 (2) ◽  
pp. 269-278 ◽  
Author(s):  
Dominique Guillot
Keyword(s):  
Dirichlet Spaces ◽  
Zero Sets ◽  
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.

Random Dirichlet Functions: Multipliers and Smoothness

1993 ◽  
Vol 45 (2) ◽  
pp. 255-268 ◽  
Author(s):  
W. George Cochran ◽  
Joel H. Shapiro ◽  
David C. Ullrich
Keyword(s):  
Power Series ◽  
Holomorphic Function ◽  
Dirichlet Series ◽  
Dirichlet Space ◽  
General Setting ◽  
Sufficient Condition ◽  
Dirichlet Spaces ◽  
Random Series ◽  
Weighted Dirichlet Spaces ◽  
Almost All

AbstractWe show that if is a holomorphic function in the Dirichlet space of the unit disk, then almost all of its randomizations are multipliers of that space. This parallels a known result for lacunary power series, which also has a version for smoothness classes: every lacunary Dirichlet series lies in the Lipschitz class Lip1/2 of functions obeying a Lipschitz condition with exponent 1/2. However, unlike the lacunary situation, no corresponding “almost sure” Lipschitz result is possible for random series: we exhibit a Dirichlet function with norandomization in Lip1/2. We complement this result with a “best possible” sufficient condition for randomizations to belong almost surely to Lip1/2. Versions of our results hold for weighted Dirichlet spaces, and much of our work is carried out in this more general setting.

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