scholarly journals Composition operators acting on weighted Dirichlet spaces

2013 ◽  
Vol 401 (2) ◽  
pp. 682-694 ◽  
Author(s):  
Jordi Pau ◽  
Patricio A. Pérez
Keyword(s):  
Composition Operators ◽  
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

Compact differences of composition operators on weighted Dirichlet spaces

2014 ◽  
Vol 12 (7) ◽  
Author(s):  
Robert Allen ◽  
Katherine Heller ◽  
Matthew Pons
Keyword(s):  
Analytic Functions ◽  
Composition Operators ◽  
Dirichlet Space ◽  
Complex Interpolation ◽  
Dirichlet Spaces ◽  
Space Of Analytic Functions ◽  
First Derivative ◽  
Weighted Dirichlet Spaces ◽  
The Difference

AbstractHere we consider when the difference of two composition operators is compact on the weighted Dirichlet spaces . Specifically we study differences of composition operators on the Dirichlet space and S 2, the space of analytic functions whose first derivative is in H 2, and then use Calderón’s complex interpolation to extend the results to the general weighted Dirichlet spaces. As a corollary we consider composition operators induced by linear fractional self-maps of the disk.

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