Volume no :33, Issue no: 1, May

WEIGHTED COMPOSITION OPERATORS ON GENERALIZED FOCK-TYPE SPACES

Author's: Waleed Al-Rawashdeh
Pages: [25] - [36]
Received Date: April 7, 2015
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121486

Abstract

Let be an entire self-map of the n-dimensional Euclidean complex space and u be an entire function on A weighted composition operator induced by with weight u is given by for and f is entire function on In this paper, we study weighted composition operators act between generalized Fock-types spaces. We characterize the boundedness and compactness of these operators act between and when

Keywords

weighted composition operators, bounded operators, compact operators, entire functions, generalized Fock-type spaces.