Multidimensional Hilbert-type inequality on the weighted Orlicz spaces

DOI10.1007/s00009-011-0160-6zbMath1254.26027OpenAlexW2056194365MaRDI QIDQ1762389

Mario Krnić

Publication date: 23 November 2012

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-011-0160-6

zbMATH Keywords

conjugate functionYoung functionHilbert-type inequalityLuxemburg-Nakano normHardy-Hilbert type inequalitythe weighted Orlicz 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) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (4)

A new multiple half-discrete Hilbert-type inequality with parameters and a best possible constant factor ⋮ A multiple Hilbert-type discrete inequality with a new kernel and best possible constant factor ⋮ Hilbert-type and Hardy-type integral inequalities with operator expressions and the best constants in the whole plane ⋮ On submultiplicativity of an \(N\)-function and its conjugate

Cites Work

• Generalized Hardy inequalities in rearrangement invariant spaces
• Weighted Orlicz space integral inequalities for the Hardy-Littlewood maximal operator
• On the way of weight coefficient and research for the Hilbert-type inequalities
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