Cesàro-like operators acting on spaces of analytic functions

DOI10.1007/s13324-022-00649-xzbMath1486.30139OpenAlexW4221017280MaRDI QIDQ2119593

Daniel Girela, Noel Merchán, Petros Galanopoulos

Publication date: 29 March 2022

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-022-00649-x

zbMATH Keywords

Hardy spacesweighted Bergman spacesBloch spacesBMOA-spaces

Mathematics Subject Classification ID

Hardy spaces (30H10) Bloch spaces (30H30) Bergman spaces and Fock spaces (30H20) BMO-spaces (30H35)

Related Items

A Carleson type measure and a family of Möbius invariant function spaces, Cesàro-type operators on Hardy spaces, Cesàro-type operators associated with Borel measures on the unit disc acting on some Hilbert spaces of analytic functions, Characterizations of Hankel type measures, Cesàro-like operators between the Bloch space and Bergman spaces, Cesàro-like operators acting on a class of analytic function spaces, Operators induced by radial measures acting on the Dirichlet space, Carleson measures and the range of a Cesàro-like operator acting on \(H^\infty\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(L^\infty\) estimates for the \(\bar\partial\) problem in a half-plane
• Some analytic functions whose boundary values have bounded mean oscillation
• Some properties of fractional integrals. II
• A Hankel matrix acting on spaces of analytic functions
• Mean Lipschitz spaces and a generalized Hilbert operator
• A generalized Hilbert operator acting on conformally invariant spaces
• On the Bergman space norm of the Cesàro operator
• Coefficients problems for Bloch functions
• A generalized Hilbert matrix acting on Hardy spaces
• Analogues to Landau's inequality for nonvanishing bounded functions and for Bloch functions
• Hankel matrices acting on the Hardy space \(H^1\) and on Dirichlet spaces
• Coefficient multipliers of \(H^ p\) and \(B^ p\) spaces
• The multipliers between the mixed norm spaces in \(\mathbb C^n\)
• Interpolations by bounded analytic functions and the corona problem
• THE CESÀRO OPERATOR ON BOUNDED ANALYTIC FUNCTIONS
• Composition Semigroups and the Cesàro Operator OnH ^p
• The Cesaro Operator is Bounded on H p for 0 < p < 1
• Mean growth of the derivative of analytic functions bounded mean oscillation and normal functions
• Cesàro averaging operators
• Interpolation of compact operators by the methods of Calderón and Gustavsson–Peetre
• Cesàro averaging operators on Hardy spaces
• Intermediate spaces and interpolation, the complex method
• The Cesaro Operator is Bounded on H 1
• A Convexity Theorem
• Some results on mean Lipschitz spaces of analytic functions