Uncertainty inequality on weighted Hardy spaces

• Published in: Georgian mathematical journal Vol. 30; no. 4; pp. 603 - 610
• Main Author: Soltani, Fethi
• Format: Journal Article
• Language: English
• Published: De Gruyter 01.08.2023
• Subjects: 30H10; 32A15; derivative operator; uncertainty inequality; Weighted Hardy space

In this paper we introduce a weighted Hardy space . This space generalizes some complex Hilbert spaces like the Dirichlet space , the Bergman space and the Segal–Bargmann space . It plays the role of background for our contribution. In particular, we study the derivative operator and its adjoint ope...