Truncated Hankel operators on model spaces, Preprint

Release time:2017-07-21

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

Abstract:The paper by Sarason in 2007 initiated and inpired the study of truncated Toeplitz operators. Here we study the truncted Hankel operators which are the compression of Hankel operators to coninvariant susbspace of H2. Several parrallel chaterizations and properties of such operators are obtained. In particular, Boundedness, finite rank, compactness was characterized.

Note:This is joint work with Professor Caixing Gu(California Polytechnic State University). Submitted, 2019-12.

Co-author:Caixing Gu, Pan Ma

Indexed by:Unit Twenty Basic Research

Translation or Not:no