A Note on Boundedness of Operators in Grand Grand Morrey Spaces

DOI10.1007/978-3-0348-0516-2_19zbMath1280.46019arXiv1109.2550OpenAlexW3100184599MaRDI QIDQ4912925

Humberto Rafeiro

Publication date: 28 March 2013

Published in: Advances in Harmonic Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.2550

zbMATH Keywords

maximal operatorHardy-Littlewood maximal operatorMorrey spacesCalderón-Zygmund operator

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) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

Related Items (27)

On the boundedness of integral operators in weighted grand Morrey spaces ⋮ Fractional integrals and derivatives: mapping properties ⋮ Weighted fully measurable grand Lebesgue spaces and the maximal theorem ⋮ Trudinger's inequality and continuity for Riesz potentials of functions in grand Musielak-Orlicz-Morrey spaces over nondoubling metric measure spaces ⋮ Fully measurable small Lebesgue spaces ⋮ Sobolev and Trudinger type inequalities on grand Musielak-Orlicz-Morrey spaces ⋮ On grand and small Lebesgue and Sobolev spaces and some applications to PDE's ⋮ Grand Lebesgue spaces with respect to measurable functions ⋮ Calderón-Zygmund operators in Morrey spaces ⋮ Extrapolation in new weighted grand Morrey spaces beyond the Muckenhoupt classes ⋮ Unnamed Item ⋮ Grand Lebesgue space for p = ∞ and its application to Sobolev–Adams embedding theorems in borderline cases ⋮ Boundedness of operators of harmonic analysis in grand variable exponent Morrey spaces ⋮ Embedding of grand central Morrey-type spaces into local grand weighted Lebesgue spaces ⋮ Boundedness of sublinear operators in weighted grand Morrey spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fully measurable grand Lebesgue spaces ⋮ Iterated grand and small Lebesgue spaces ⋮ Sublinear operators in generalized weighted Morrey spaces ⋮ Density, duality and preduality in grand variable exponent Lebesgue and Morrey spaces ⋮ Fractional integrals with measure in grand Lebesgue and Morrey spaces ⋮ A sharp blow-up estimate for the Lebesgue norm ⋮ The Boundedness of the Riesz Potential Operator from Generalized Grand Lebesgue Spaces to Generalized Grand Morrey Spaces

Cites Work

• A direct approach to the duality of grand and small Lebesgue spaces
• On the integrability of the Jacobian under minimal hypotheses
• Inverting the \(p\)-harmonic operator
• Duality and reflexivity in grand Lebesgue spaces
• On small Lebesgue spaces
• Grand and small Lebesgue spaces and their analogs
• Maximal functions, potentials and singular integrals in grand Morrey spaces
• The maximal theorem for weighted grand Lebesgue spaces
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Morrey-Campanato Spaces: an Overview
• On the Solutions of Quasi-Linear Elliptic Partial Differential Equations
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