Berezin symbols and some problems on the Dirichlet space
Indian Journal of Pure and Applied Mathematics, cilt.56, sa.3, ss.1269-1277, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 56 Sayı: 3
- Basım Tarihi: 2025
- Doi Numarası: 10.1007/s13226-024-00553-z
- Dergi Adı: Indian Journal of Pure and Applied Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
- Sayfa Sayıları: ss.1269-1277
- Anahtar Kelimeler: Berezin symbol, Compact operator, Dirichlet space, Reproducing kernel Hilbert space
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this article, we characterize the classes Spw classes in terms of the boundary behavior of Berezin symbols of the weighted shift operators on the Dirichlet space DD. Also, we give a result related with the asymptotic multiplicative property of the Berezin symbol of any operator on reproducing kernel Hilbert space. Moreover, by using Berezin symbols, we give some condition for st-DL convergence of a series of complex numbers.