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Hölder type inequalities in Lorentz spaces

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Publication:1956521
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DOI10.1007/s10231-009-0121-xzbMath1207.46027OpenAlexW2086953638MaRDI QIDQ1956521

Javier Soria, Viktor I. Kolyada

Publication date: 22 September 2010

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-009-0121-x


zbMATH Keywords

sharp constantslevel functionequivalent normsLorentz 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) Classical Banach spaces in the general theory (46B25)


Related Items (2)

Regular solutions to the Navier-Stokes equations with an initial data in \(L(3,\infty )\) ⋮ Degenerate Poincaré–Sobolev inequalities



Cites Work

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  • On the theory of spaces \(\Lambda\)
  • Sharp constants related to the triangle inequality in Lorentz spaces
  • Recent developments in the theory of Lorentz spaces and weighted inequalities
  • Spaces defined by the level function and their duals
  • Inequalities of Gagliardo-Nirenberg type and estimates for the moduli of continuity
  • Function Spaces


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