Translator Disclaimer
2019 Compact double differences of composition operators on the Bergman spaces over the ball
Boo Rim Choe, Hyungwoon Koo, Jongho Yang
Tohoku Math. J. (2) 71(4): 609-637 (2019). DOI: 10.2748/tmj/1576724796

Abstract

Choe et al. have recently characterized compact double differences formed by four composition operators acting on the standard weighted Bergman spaces over the disk of the complex plane. In this paper, we extend such a result to the ball setting. Our characterization is obtained under a suitable restriction on inducing maps, which is automatically satisfied in the case of the disk. We exhibit concrete examples, for the first time even for single composition operators, which shows that such a restriction is essential in the case of the ball.

Citation

Download Citation

Boo Rim Choe. Hyungwoon Koo. Jongho Yang. "Compact double differences of composition operators on the Bergman spaces over the ball." Tohoku Math. J. (2) 71 (4) 609 - 637, 2019. https://doi.org/10.2748/tmj/1576724796

Information

Published: 2019
First available in Project Euclid: 19 December 2019

zbMATH: 07199982
MathSciNet: MR4043928
Digital Object Identifier: 10.2748/tmj/1576724796

Subjects:
Primary: 47B33
Secondary: 30H20

Rights: Copyright © 2019 Tohoku University

JOURNAL ARTICLE
29 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.71 • No. 4 • 2019
Back to Top