Order Bounded Weighted Composition Operators Mapping into the Dirichlet Type Spaces

Citation:

Y. X. Gao,S. Kumar,Z. H. Zhou.Order Bounded Weighted Composition Operators Mapping into the Dirichlet Type Spaces[J].Chinese Annals of Mathematics B,2016,37(4):585~594
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Authors:

Y. X. Gao; S. Kumar;Z. H. Zhou

Foundation:

This work was supported by the National Natural Science Foundation of China (Nos.11371276, 11301373, 11201331).
Abstract: The authors characterize the order boundedness of weighted composition operators acting between Dirichlet type spaces.

Keywords:

Weighted composition operator, Order boundedness, Dirichlet type spaces, Positive Borel measure

Classification:

47B38, 47B33
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