Generalized Hilbert operators acting on weighted Bergman spaces and Dirichlet spaces

DOI10.1007/S43037-023-00268-ZarXiv2207.11176OpenAlexW4366774191MaRDI QIDQ6158450

Guanghao Feng, Shanli Ye

Publication date: 31 May 2023

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.11176

zbMATH Keywords

weighted Bergman spacesCarleson measureDirichlet spacesgeneralised Hilbert operators

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on function spaces (general) (47B38) Spaces and algebras of analytic functions of one complex variable (30H99) Bergman spaces and Fock spaces (30H20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Taylor coefficients and coefficient multipliers of Hardy and Bergman-type spaces
• A generalized Hilbert operator acting on conformally invariant spaces
• Vanishing logarithmic Carleson measures
• A generalized Hilbert matrix acting on Hardy spaces
• A derivative-Hilbert operator acting on the Bloch space
• A derivative-Hilbert operator acting on Bergman spaces
• Hankel matrices acting on Dirichlet spaces
• Hankel matrices acting on the Hardy space \(H^1\) and on Dirichlet spaces
• A Hankel matrix acting on Hardy and Bergman spaces
• Forward and Reverse Carleson Inequalities for Functions in Bergman Spaces and Their Derivatives
• A Carleson Measure Theorem for Bergman Spaces
• Composition operators and the Hilbert matrix
• Generalized Hilbert operators

This page was built for publication: Generalized Hilbert operators acting on weighted Bergman spaces and Dirichlet spaces