Zero, finite rank and compact big truncated Hankel operators on model spaces,

Release time:2018-05-09

Journal:Proceedings of the American Mathematical Society

Key Words:Hardy space, Hankel operator, Model spaces, Big truncated Hankel operator

Abstract:In this paper, we present su cient and necessary conditions for big truncated Hankel operators on model spaces to be zero, nite rank and compact. We focus on the relation between the properties of the operator and its symbol. Our main tool are the properties of Hardy Hankel operators and function algebra.

Note:Fugang Yan is a doctor student from Chongqing University. DechaoZheng is a professor of Vanderbilt University and Chongqing University. Accepted, 2018-03-30

Co-author:Dechao Zheng, Fugang Yan, Pan Ma

Indexed by:Unit Twenty Basic Research

Discipline:数学

Volume:146

Issue:12

Page Number:5235-5242

Translation or Not:no

Date of Publication:2018-12-15