GENERALIZED WEIGHTED COMPOSITION OPERATORS FROM AREA NEVANLINNA SPACES TO WEIGHTED-TYPE SPACES

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 48, Issue 6, 2011, pp.1195-1205
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2011.48.6.1195

Title & Authors

GENERALIZED WEIGHTED COMPOSITION OPERATORS FROM AREA NEVANLINNA SPACES TO WEIGHTED-TYPE SPACES

Weifeng, Yang; Weiren, Yan;

Weifeng, Yang; Weiren, Yan;

Abstract

Let denote the class of all analytic functions on the open unit disk of the complex plane . Let n be a nonnegative integer, be an analytic self-map of and . The generalized weighted composition operator is defined by . The boundedness and compactness of the generalized weighted composition operator from area Nevanlinna spaces to weighted-type spaces and little weighted-type spaces are characterized in this paper.

Keywords

generalized weighted composition operator;area Nevanlinna space;weighted-type space;

Language

English

Cited by

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