| 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,αp,then we get the reproducing kernel functions of harmonic Fock spaces.Al-so,we show the boundedness of the projection Q h,α:Lαp→Fh,αp,and characterize the boundedness and compactness of Tμ.In order to prove our main results on Tμ,we introduce the Berezin transform of a Borel measure μ and Fock-Carleson measures. |
