On preduals and Köthe duals of some subspaces of Morrey spaces

DOI10.1016/J.JMAA.2020.124842zbMath1479.46031OpenAlexW3111089019MaRDI QIDQ1997236

Nouffou Diarra, Ibrahim Fofana

Publication date: 1 March 2021

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124842

zbMATH Keywords

Fourier transformCalderón-Zygmund operatorsHardy-Littlewood maximal operatorpredualKöthe dual spacesFofana space

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) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)

Related Items (2)

Bourgain-Morrey spaces mixed with structure of Besov spaces ⋮ Characterization of some closed linear subspaces of Morrey spaces and approximation

Cites Work

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• Norm inequalities in generalized Morrey spaces
• Fourier transform and compactness in \((L^{q},l^{p})^{\alpha}\) and \(M^{p,\alpha}\) spaces
• Morrey spaces in harmonic analysis
• Norm inequalities in some subspaces of Morrey space
• On the search for weighted norm inequalities for the Fourier transform
• Necessary condition for measures which are \((L^q ,L^p )\) multipliers
• New function spaces related to Morrey spaces and the Fourier transform
• On Lebesgue integrability of Fourier transforms in amalgam spaces
• Boundedness of positive operators on weighted amalgams
• Morrey spaces, their duals and preduals
• Two weight estimates for a class of \((p,q)\) type sublinear operators and their commutators
• Sufficient conditions for the Lebesgue integrability of Fourier transforms in amalgam spaces
• Weighted norm inequalities for the local sharp maximal function
• Isomorphism between Sobolev spaces and Bessel potential spaces in the setting of Wiener amalgam spaces
• Weighted Hardy and singular operators in Morrey spaces
• Weighted Norm Inequalities for a Maximal Operator in Some Subspace of Amalgams
• Generalizations of Calderón-Zygmund operators
• Amalgams of 𝐿^{𝑝} and 𝑙^{𝑞}
• Morrey Space
• Harmonic Analysis on Amalgams of L^P and l^q
• Integral operators and weighted amalgams
• On some subspaces of Morrey–Sobolev spaces and boundedness of Riesz integrals
• Morrey-Campanato Spaces: an Overview
• Multilinear Operators on Weighted Amalgam-Type Spaces
• The Boundedness of Littlewood-Paley Operators with Rough Kernels on Weighted (<em>L^q,L^p</em>)^&#945;(R^<em>n</em>) Spaces
• Nonlinear potential analysis on Morrey spaces and their capacities

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