Solid hulls of quasi-Banach spaces of analytic functions and interpolation

DOI10.1016/j.na.2010.02.043zbMath1195.30071OpenAlexW2056479280MaRDI QIDQ975243

Paweł Mleczko, Mieczyslaw Mastylo

Publication date: 9 June 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.02.043

zbMATH Keywords

Hardy spaceLorentz spacequasi-Banach spacesinterpolation functor

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Multipliers in one variable harmonic analysis (42A45) Abstract interpolation of topological vector spaces (46M35) Hardy spaces (30H10)

Related Items (9)

On the Banach envelopes of Hardy–Orlicz spaces on an annulus ⋮ The Cesàro operator and unconditional Taylor series in Hardy spaces ⋮ On the interpolation constants for variable Lebesgue spaces ⋮ Regularization for Lozanovskii's type factorization with applications ⋮ Solid extensions of the Cesàro operator on the Hardy space \(H^2(\mathbb D)\) ⋮ On Banach envelopes of Hardy−Orlicz spaces on planar domains ⋮ Composition operators on Banach spaces of analytic functions ⋮ CLASSICAL PROPERTIES OF COMPOSITION OPERATORS ON HARDY–ORLICZ SPACES ON PLANAR DOMAINS ⋮ Generalized quasi-Banach sequence spaces and measures of noncompactness

Cites Work

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• Unnamed Item
• Orlicz spaces and modular spaces
• On the solid hull of the Hardy space \(H^p\), \(0<p<1\)
• A nested embedding theorem for Hardy-Lorentz spaces with applications to coefficient multiplier problems
• Absolutely summing multipliers on abstract Hardy spaces
• \(L^\infty\) estimates for the \(\bar\partial\) problem in a half-plane
• Interpolation in quasi-Banach Orlicz spaces
• Remarks on Hardy-Orlicz classes
• On multipliers from \(H^ p\) to \(l^ q\), \(0<q<p<1\)
• An extension of the Hausdorff-Young theorem
• Interpolation of Banach lattices
• On the solid hull of the Hardy-Lorentz space
• On Riemann integration of functions with values in topological linear spaces
• Coefficient Multipliers of Bloch Functions
• A function parameter in connection with interpolation of Banach spaces.
• Multipliers of Hardy Spaces

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