Doubling Fock空间之间的正Toeplitz算子

Positive Toeplitz operators between doubling Fock spaces

设F p(?)为复平面C上的加权Fock空间,其中?为次调和函数,Δ?d A为doubling测度.本文利用均值函数与t-Berezin变换刻画了F p(?)(0<p<∞)与F∞(?)之间具有正测度符号的Toeplitz算子Tμ的有界性和紧性,拓展了已有结果.

Let F p(?)be a weighted Fock space on the complex plane C,where?is subharmonic andΔ?d A a doubling measure.We characterize the boundedness and compactness of the Toeplitz operator Tμ(with positive Borel measureμon C)between weighted Fock spaces F p(?)(0<p<∞)and F∞(?)by using the averaging functions and t-Berezin transform.Our results extend the known results.