Bounded truncated Toeplitz operators on model spaces, preprint

Release time:2019-10-08

Abstract:In this paper, we will give a necessary condition for boundedness of truncated Toeplitz operators. Motivated by Sarsason's problem on product of Toeplitz operator on Hardy space and Bergman space, we will study product of truncated Toeplitz operators on model spaces. In particular, we will present a necessary condition for bounded product of truncated Toeplitz operator and character compactness of prodcut of truncated Toeplitz operators.

Note:Fugang Yan is a doctor student from Chongqing University. Dechao Zheng is a professor of Vanderbilt University.

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

Indexed by:Unit Twenty Basic Research

Discipline:数学

Translation or Not:no