Complex Symmetries Of A Class Of Truncated Hankel And Toeplitz Operators

The thesis mainly studies the complex symmetries of truncated Hankel operators on the Model space and Toeplitz operators on the Hardy space.In the first chapter,it first mainly recalls some backgrounds of the research and some basic definitions,then presents main results of the research.In the second chapter,it gives the proofs of main results with two parts.In the first part,it proves the complex symmetries of a class of truncated Hankel operators on the Model space;In the second part,it proves the complex symmetries of a class of Toeplitz operators on the Hardy space.