Rhaly operators on small weighted hardy spaces

• Main Authors: Lin, Tan Pin, Doan, Minh Luan, Khoi, Le Hai
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2020
• Subjects: Science::Mathematics; Hilbert Spaces; Entire Functions
• Online Access: https://hdl.handle.net/10356/137246
• Institution: Nanyang Technological University

We study several properties of Rhaly operators on small weighted Hardy spaces of holomorphic functions in the unit disc D. In particular, we obtain criteria for boundedness, compactness, Hilbert-Schmidt norm, and p-Schatten class membership of such operators. A closedness of Rhaly operator is also s...