Full paper in PDF format:
$%S. Kumar, Weighted Composition Operators Between Spaces of Dirichlet Type, Rev. Mat. Complut. 22 (2009), no. 2, 469–488.%$
Weighted Composition Operators Between Spaces of Dirichlet Type
Sanjay KUMAR
Department of Mathematics
University of Jammu
Jammu-180 006 — India.
sanjaykmath@gmail.com 
Received: January 27, 2008
Accepted: October 14, 2008

ABSTRACT

In this work we characterize boundedness and compactness of weighted composition operators acting between Dirichlet type spaces by using Carleson measures. We also find essential norm estimates for these operators.

Key words: Bergman spaces, Carleson measure, essential norm, spaces of Dirichlet type, weighted compositon operators.
2000 Mathematics Subject Classification:
Primary 47B33, 46E30; Secondary 47B07, 46B70.