Open AccessZero, finite rank, and compact big truncated Hankel operators on model spaces
Author(s) -
Ping Ma,
Fugang Yan,
Dechao Zheng
Publication year - 2018
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/14179
Subject(s) - hankel matrix , rank (graph theory) , mathematics , zero (linguistics) , hankel transform , hardy space , pure mathematics , function (biology) , algebra over a field , mathematical analysis , combinatorics , bessel function , philosophy , linguistics , evolutionary biology , biology
In this paper, we obtain sufficient and necessary conditions for big truncated Hankel operators on model spaces to be zero, or of finite rank or compact. Our main tools are the properties of Hardy Hankel operators and function algebras.