REVERSE CARLESON MEASURES ON GENERALIZED FOCK SPACES  

作　　者：曹广福 何莉 张艺渊 Guangfu CAO;Li HE;Yiyuan ZHANG(School of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,China)

机构地区：[1]School of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,China

出　　处：《Acta Mathematica Scientia》2023年第2期655-667,共13页数学物理学报（B辑英文版）

基　　金：supported by the NNSF of China(12071155);supported by the NNSF of China(11871170);the open project of Key Laboratory,school of Mathematical Sciences,Chongqing Normal University(CSSXKFKTM202002);supported by the Innovation Research for the Postgraduates of Guangzhou University(2020GDJC-D08)。

摘　　要：In this paper,we characterize reverse Carleson measures for a class of generalized Fock spaces F^(p)_(φ),with 0<p<∞and withφsatisfying dd^(c)_(φ)■ω0.As an application of these results,we obtain several equivalent characterizations for invertible Toeplitz operators Tψ,induced by positive bounded symbols φ on F^(2)_(φ).

关 键 词：reverse Carleson measures invertible Toeplitz operators generalized Fock spaces 

分 类 号：O177[理学—数学]