摘要
Given φ a subharmonic function on the complex plane C,with ?φdA being a doubling measure,the author studies Fock Carleson measures and some characterizations onμsuch that the induced positive Toeplitz operator T_μ is bounded or compact between the doubling Fock space F_φ~p and F_φ~∞ with 0<p≤∞,where μ is a positive Borel measure on C.
Given φ a subharmonic function on the complex plane C,with ?φdA being a doubling measure,the author studies Fock Carleson measures and some characterizations onμsuch that the induced positive Toeplitz operator T_μ is bounded or compact between the doubling Fock space F_φ~p and F_φ~∞ with 0<p≤∞,where μ is a positive Borel measure on C.
基金
supported by the National Natural Science Foundation of China(Nos.11601149,11771139,11571105)
the Zhejiang Provincial Natural Science Foundation of China(No.LY15A010014)
