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Toeplitz operators between distinct Bergman spaces

Toeplitz operators between distinct Bergman spaces

作     者:Siyu Wang Zipeng Wang 

作者机构:School of Mathematics and StatisticsNortheast Normal UniversityChangchun 130024China College of Mathematics and StatisticsChongqing UniversityChongqing 401331China 

出 版 物:《Science China Mathematics》 (中国科学:数学(英文版))

年 卷 期:2022年第65卷第11期

页      面:2325-2336页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基  金:supported by National Natural Science Foundation of China(Grant No.11601296) supported by Natural Science Basic Research Program of Shaanxi(Grant No.2020JM-278) 

主  题:Toeplitz operator Carleson measures distinct Bergman spaces 

摘      要:In this paper,we provide descriptions of the boundedness and compactness for the Toeplitz operators T;between distinct weighted Bergman spaces L^(p)a(ω_(α))and L^(p)a(ω_(β))for 0p≤1,q=1,-1α,β∞and 0p≤1q∞,-1β≤α∞,*** of our results are new even in the unweighted Bergman spaces.

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