Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

HOME ALL ARTICLES View

Bull. Korean Math. Soc. 2017; 54(1): 187-198

Online first article November 11, 2016      Printed January 31, 2017

https://doi.org/10.4134/BKMS.b160014

Copyright © The Korean Mathematical Society.

Essential norm of the composition operators between Bergman spaces of logarithmic weights

Ern Gun Kwon and Jinkee Lee

Andong National University, Pusan National University

Abstract

We obtain some necessary and sufficient conditions for the boundedness of the composition operators between weighted Bergman spaces of logarithmic weights. In terms of the conditions for the boundedness, we compute the essential norm of the composition operators.

Keywords: composition operator, logarithmic weighted, Bergman space, essential norm

MSC numbers: Primary 47B33, 32A36, 46E15