The Berezin transform and commutativity of Toeplitz operators on the Bergman space of the upper half-plane
The aim of this paper is twofold. First, we explore the role of the pioneering concept of the Berezin transform and its fixed points in the framework of the Bergman space on the complex upper half-plane. Second, in the setting of this Bergman space, we characterize commuting pairs of Toeplitz operators with bounded symbols that are either harmonic, of bi-harmonic type, or of bi-analytic type. In particular, this allows us to characterize normal Toeplitz operators.
نوع عمل المنشور
Original Research Paper
اسم الناشر
Proc. Inst. Math. Mech. Natl. Acad. Sci. Azerb.
مدينة النشر
Baku
رقم المجلد
51
رقم الانشاء
1
مجلة/صحيفة
Proc. Inst. Math. Mech. Natl. Acad. Sci. Azerb.
الصفحات
137–152
مزيد من المنشورات
The aim of this paper is twofold. First, we explore the role of the pioneering concept of the Berezin transform and its fixed points in the framework of the Bergman space on the complex upper half…
2025
تم النشر فى:
Proc. Inst. Math. Mech. Natl. Acad. Sci. Azerb.
2021
تم النشر فى:
Linear Multilinear Algebra