Algebraic Properties Of Some Small Hankel Operator On Pluriharmonic Bergman Space

The dissertation mainly studies some algebraic properties for a class of smal-1 Hankel operators on pluriharmonic Bergman space.In the first chapter,it first mainly recalls some backgrounds of the research and some basic definitions,then presents some main results of the research.In the second chapter,it gives the proof-s of main results with three parts.In the first part,it proves the commutativity of small Hankel operator with separately quasihomogeneous symbols;In the sec-ond part,it proves the product problem of small Hankel operators with separately quasihomogeneous symbols and as a by-product,the semi-commutativity of small Hankel operators with same symbols is obtained;In the last part,it proves some other related results.