Toeplitz Operators On The Harmonic Fock Spaces

In this paper,we describe some basic properties of operators on the harmonic Fock spaces.We begin with a basic estimate for integral average of harmonic func-tions,and know that the point evaluation at each z ? C is a bounded function on the space Fh,?p,then we get the reproducing kernel functions of harmonic Fock spaces.Al-so,we show the boundedness of the projection Q h,?:L?p?Fh,?p,and characterize the boundedness and compactness of T?.In order to prove our main results on T?,we introduce the Berezin transform of a Borel measure ? and Fock-Carleson measures.