Generalization of the notion of grand Lebesgue space

DOI10.3103/S1066369X14040057zbMath1314.46037MaRDI QIDQ465067

Salaudin Umarkhadzhiev

Publication date: 31 October 2014

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

maximal operatorCalderón-Zygmund operatorgrand Lebesgue spacesgeneralized Lebesgue grand spacesinterpolation theorem with change of measureIwaniec-Sbordone spaces

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) Maximal functions, Littlewood-Paley theory (42B25) Interpolation between normed linear spaces (46B70)

Related Items (27)

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Cites Work

• Boundedness criteria for singular integrals in weighted Grand Lebesgue spaces
• 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
• Small Lebesgue spaces and their applications
• On small Lebesgue spaces
• Grand and small Lebesgue spaces and their analogs
• A characterization of two weight norm inequalities for maximal singular integrals with one doubling measure
• Boundedness of weighted singular integral operators in grand Lebesgue spaces
• Interpolation of Operators with Change of Measures
• The maximal theorem for weighted grand Lebesgue spaces
• Weighted Norm Inequalities for the Hardy Maximal Function
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