Commutativity Of Small Hankel Operator On Harmonic Dirich-let Space

The paper studies the commutativity of small Hankel operator onHarmonic Dirichlet space and consists of two chapters as follows.In Chapter one, the research background, some preliminaries andmain results of the paper are introduced.In Chapter two,we firstly introduce a special class of small Hankeloperator,which is essentially a class of functional.Then we obtain the rela-tionship between samll Hankel operators with general symbols and samllHankel operators with harmonic symbols.In the end, the necessary and suf-ficient conditions for commutativity of small Hankel operators are given.