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On supremum operators

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Publication:656376
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DOI10.1134/S1064562411030422zbMath1236.47008MaRDI QIDQ656376

Dmitry Vladimirovich Prokhorov, Vladimir D. Stepanov

Publication date: 17 January 2012

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


zbMATH Keywords

Lorentz spaceHardy weight 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) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Integral operators (47G10)


Related Items

On the boundedness of a class of sublinear operators, Boundedness and compactness of a supremum-involving integral operator, On weighted Hardy inequalities in mixed norms



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Inequalities for Riemann-Liouville operator involving suprema
  • Weighted Lorentz spaces and the Hardy operator
  • A reduction theorem for supremum operators
  • On the Principle of Duality in Lorentz Spaces
  • Weighted weak type Hardy inequalities with applications to Hilbert transforms and maximal functions
  • On the Compactness and Approximation Numbers of Hardy-Type Integral Operators in Lorentz Spaces
  • The Weighted Hardy Inequality: New Proofs and the Case p = 1
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