Truncated Hankel operators on model spaces

Release time:2025-01-10

Journal:Journal of Mathematical Analysis and Applications

Abstract:The paper by Sarason in 2007 initiated and inspired the study of truncated Toeplitz operators which are the compression of Toeplitz operators to coinvariant subspace of H^2 . We study the truncated Hankel operators which are the compression of Hankel operators to coinvariant subspace of H^2 . Several parallel characterizations and properties of such operators are obtained. In addition, boundedness, finite rank and compactness of truncated Hankel operators were characterized in terms of their symbols.

First Author:Caixing Gu

Indexed by:Journal paper

Correspondence Author:Pan Ma

Discipline:Natural Science

First-Level Discipline:Mathematics

Document Type:J

Translation or Not:no

Date of Publication:2024-12-01