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1998

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/7722

Conjugate Hardy's inequalities with decreasing weights

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Abstract

We prove that for a decreasing weight ω on R+, the conjugate Hardy transform is bounded on Lp(ω ) (1 ≤ p < ∞ ) if and only if it is bounded on the cone of all decreasing functions of Lp(ω ). This property does not depend on p.

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Operadors integrals, Espais de Hardy, Desigualtats (Matemàtica)

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Fourier analysis in several variables, Singular integrals, Spaces of measurable functions

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CERDÀ MARTÍN, Joan Lluís and MARTÍN I PEDRET, Joaquim. Conjugate Hardy's inequalities with decreasing weights. Proceedings of the American Mathematical Society. 1998. Vol. 126, num. 8, pags. 2341-2344. ISSN 1088-6826. [consulted: 18 of June of 2026]. Available at: https://hdl.handle.net/2445/7722

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