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Weighted bilinear Hardy inequalities

Authors: Aguilar-Cañestro, María Isabel; Ortega-Salvador, Pedro; Ramírez Torreblanca, Consuelo;

Weighted bilinear Hardy inequalities

Abstract

We characterize the weights w, w1, w2 such that the weighted bilinear Hardy inequality b a x a f q x a g q w(x)dx 1q C b a f p1w1 1 p1 b a gp2 w2 1 p2 holds for all nonnegative functions f and g, with a positive constant C independent of f and g, for all possible values of q, p1 and p2 with 1 < q, p1, p2 <∞. We also characterize the good weights for the weighted bilinear n-dimensional Hardy inequality to hold.

Política de acceso abierto tomada de: https://beta.sherpa.ac.uk/id/publication/11377#journalPolicy

Country
Spain
Keywords

Weighted inequalities, weighted inequalities, Applied Mathematics, Desigualdades (Matemáticas), 510, bilinear operators, Weights, Análisis matemático, Inequalities for sums, series and integrals, Hardy operators, weights, Bilinear operators, Analysis

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
29
Top 10%
Top 10%
Average
Green
hybrid