Strict singularity of a Volterra-type integral operator on $H^p$

DOI10.1090/proc/13180zbMath1353.47093arXiv1509.08356OpenAlexW2240030161MaRDI QIDQ2832817

Santeri Miihkinen

Publication date: 14 November 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.08356

zbMATH Keywords

Volterra operatorintegral operatorHardy spacesstrictly singularstrict singularity

Mathematics Subject Classification ID

Integral operators (47G10) Hardy spaces (30H10)

Related Items (10)

Strict singularity of weighted composition operators on derivative Hardy spaces ⋮ Strict singularity of Volterra type operators on Hardy spaces ⋮ Rigidity of composition operators on the Hardy space \(H^{p}\) ⋮ Volterra type operators between Bloch type spaces and weighted Banach spaces ⋮ Some properties of the integration operators on the spaces \(F(p, q, s)\) ⋮ Volterra type operators on \(S^p(\mathbb{D})\) spaces ⋮ Integration operators on Hardy-Carleson type tent spaces ⋮ Essential norms of integration operators on weighted Bergman spaces ⋮ Structural rigidity of generalised Volterra operators on \(H^p\) ⋮ Integration operators between Bloch type spaces and growth spaces on the unit ball of a complex Banach space

Cites Work

• Essential norms and weak compactness of integration operators
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• Subspaces of the VMO space
• Schlichte Funktionen und analytische Funktionen von beschränkter mittlerer Oszillation
• Integration operators on weighted Bloch spaces.
• An integral operator on \(H^ p\) and Hardy's inequality.
• Rigidity of composition operators on the Hardy space \(H^{p}\)
• Integration operators on Bergman spaces
• On Perturbations of Fredholm Operators in L p (μ)-Spaces
• Essential Norm and Weak Compactness of Composition Operators on Weighted Banach Spaces of Analytic Functions
• An Integral Operator on H^p
• Strictly singular operators on $L_p$ spaces and interpolation
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