Volume no :14, Issue no: 1, March 2012

Journal of Mathematical Sciences: Advances and Applications

PRODUCTS OF RADIAL TOEPLITZ OPERATORS ON WEIGHTED BERGMAN SPACE

Author's: JUN YANG
Pages: [17] - [25]
Received Date: November 4, 2011
Submitted by:

Abstract

In this paper, we find necessary and sufficient conditions for the product of two Toeplitz operators of certain symbols to be a Toeplitz operator and give a formula of the product on weighted Bergman space.

Keywords

Toeplitz operator, Mellin transform, radial symbols, quasihomo-geneous symbols.