Some properties of the integration operators on the spaces \(F(p, q, s)\)

DOI10.1007/s10473-024-0109-zOpenAlexW4389109001MaRDI QIDQ6143836

Jiale Chen

Publication date: 5 January 2024

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-024-0109-z

zbMATH Keywords

closed range propertyintegration operatorstrict singularity

Mathematics Subject Classification ID

Integral operators (47G10) Banach spaces of continuous, differentiable or analytic functions (46E15) Besov spaces and (Q_p)-spaces (30H25) BMO-spaces (30H35)

Cites Work

• Integral operators mapping into the space of bounded analytic functions
• Compact and weakly compact composition operators on BMOA
• Integral operators on analytic Morrey spaces
• Some integral operators acting on \(H^{\infty}\)
• Some closed range integral operators on spaces of analytic functions
• Essential norms and weak compactness of integration operators
• Carleson measures, Riemann-Stieltjes and multiplication operators on a general family of function spaces
• Perturbation theory for nullity, deficiency and other quantities of linear operators
• Carleson measures, multipliers and integration operators for spaces of Dirichlet type
• Integration operators between Hardy spaces on the unit ball of \(\mathbb{C}^n\)
• Inequalities on Bergman spaces
• Operators on weighted Bergman spaces \((0 < p \leqslant 1)\) and applications
• Schlichte Funktionen und analytische Funktionen von beschränkter mittlerer Oszillation
• An integral operator on \(H^ p\) and Hardy's inequality.
• Structural rigidity of generalised Volterra operators on \(H^p\)
• Vanishing logarithmic Carleson measures
• Multipliers and integration operators between conformally invariant spaces
• Essential norms and Schatten(-Herz) classes of integration operators from Bergman spaces to Hardy spaces
• Schatten classes of Volterra operators on Bergman-type spaces in the unit ball
• Integral operators on Bergman-Morrey spaces
• Embedding derivatives and integration operators on Hardy type tent spaces
• On \(F(p, q, s)\) spaces
• Volterra type integration operators from Bergman spaces to Hardy spaces
• Integration operators on Hardy-Carleson type tent spaces
• An integral estimate and the equivalent norms on \(F(p,q,s,k)\) spaces in the unit ball
• Rigidity of composition operators on the Hardy space \(H^{p}\)
• The \({\mathcal Q}_p\) Carleson measure problem
• Strict singularity of Volterra type operators on Hardy spaces
• Strict singularity of a Volterra-type integral operator on $H^p$
• Multipliers and integration operators on Dirichlet spaces
• Integration operators on Bergman spaces
• Similarity of Parts to the Whole for Certain Multiplication Operators
• RIEMANN–STIELTJES OPERATORS ON WEIGHTED BLOCH AND BERGMAN SPACES OF THE UNIT BALL
• An Integral Operator on H^p
• Integration operators between Bloch type spaces and growth spaces on the unit ball of a complex Banach space
• Strict singularity of weighted composition operators on derivative Hardy spaces
• Rigidity of weighted composition operators on H^p
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some properties of the integration operators on the spaces \(F(p, q, s)\)