Toeplitz operators between distinct Bergman spaces
Toeplitz operators between distinct Bergman spaces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.