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

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

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We consider dual Toeplitz operators on the orthogonal complements of the Fock-Sobolev 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.

dual Toeplitz operatorsFock-Sobolev spacessymbol map

陈泳、Young Joo LEE

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Department of Mathematics,Hangzhou Normal University,Hangzhou 311121,China

Department of Mathematics,Chonnam National University,Gwangju 61186,Korea

NSFCNSFCBasic Science Research Program through the National Research Foundation of Korea(NRF)funded by the Ministry of Education

1227113411771401NRF-2019R1I1A3A01041943

2024

数学物理学报(英文版)
中科院武汉物理与数学研究所

数学物理学报(英文版)

CSTPCD
影响因子:0.256
ISSN:0252-9602
年,卷(期):2024.44(3)