Duality theorem over the cone of monotone functions and sequences in higher dimensions

DOI10.1155/S1025583402000061zbMath1014.26018OpenAlexW1978753631MaRDI QIDQ701395

Sorina Barza, Hans P. Heinig, Lars-Erik Persson

Publication date: 8 July 2003

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/s1025583402000061

zbMATH Keywords

weighted inequalitiesduality theoremsmonotone functions.multidimensional Hardy 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) Linear operators on function spaces (general) (47B38) Inequalities for sums, series and integrals (26D15)

Related Items (3)

Weighted Hardy-type operators on nonincreasing cones ⋮ Potential operators on cones of nonincreasing functions ⋮ A characterization of the two-weight inequality for Riesz potentials on cones of radially decreasing functions

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