Author:
Wang Xiaofeng,Xia Jin,Liu Youqi
Abstract
AbstractIn this paper, we study Toeplitz and Hankel operators on exponential weighted Bergman spaces. For $0< p<\infty $
0
<
p
<
∞
, we obtain sufficient and necessary conditions for Toeplitz and Hankel operators to belong to Schatten-p class by the averaging functions of symbols. For a continuous increasing convex function h, the Schatten-h class Toeplitz and Hankel operators are also characterized.
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference18 articles.
1. Arroussi, H., He, H., Li, J., Tong, C.: Toeplitz operators between large Fock spaces. Banach J. Math. Anal. 16, 32 (2022)
2. Arroussi, H., Park, I., Pau, J.: Schatten class Toeplitz operators acting on large weighted Bergman spaces. Stud. Math. 229(3), 203–221 (2015)
3. Arroussi, H., Pau, J.: Reproducing kernel estimates, bounded projections and duality on large weighted Bergman spaces. J. Geom. Anal. 25, 2284–2312 (2015)
4. Asserda, A., Hichame, A.: Pointwise estimate for the Bergman kernel of the weighted Bergman spaces with exponential weights. C. R. Math. Acad. Sci. Paris 352(1), 13–16 (2014)
5. Borichev, A., Dhuez, R., Kella, K.: Sampling and interpolation in large Bergman and Fock spaces. J. Funct. Anal. 242, 563–606 (2007)