SUMS OF DUAL TOEPLITZ PRODUCTS ON THE ORTHOGONAL COMPLEMENTS OF FOCK-SOBOLEV SPACES  

作　　者：陈泳 Young Joo Lee Yong CHEN;Young Joo LEE(Department of Mathematics,Hangzhou Normal University,Hangzhou,311121,China;Department of Mathematics,Chonnam National University,Gwangju,61186,Korea)

机构地区：[1]Department of Mathematics,Hangzhou Normal University,Hangzhou,311121,China [2]Department of Mathematics,Chonnam National University,Gwangju,61186,Korea

出　　处：《Acta Mathematica Scientia》2024年第3期810-822,共13页数学物理学报（B辑英文版）

基　　金：supported by the NSFC(12271134,11771401);supported by the Basic Science Research Program through the National Research Foundation of Korea(NRF)funded by the Ministry of Education(NRF-2019R1I1A3A01041943)。

摘　　要：We consider dual Toeplitz operators on the orthogonal complements of the FockSobolev spaces of all nonnegative real orders.First,for symbols in a certain class containing all bounded functions,we study the problem of when an operator which is finite sums of the dual Toeplitz products is compact or zero.Next,for bounded symbols,we construct a symbol map and exhibit a short exact sequence associated with the C^(*)-algebra generated by all dual Toeplitz operators with bounded symbols.

关 键 词：dual Toeplitz operators Fock-Sobolev spaces symbol map 

分 类 号：O177[理学—数学]