Title:
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Conjugate Hardy's inequalities with decreasing weights
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Author:
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Cerdà Martín, Joan Lluís; Martín i Pedret, Joaquim
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Other authors:
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Universitat de Barcelona |
Abstract:
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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. |
Subject(s):
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-Operadors integrals -Espais de Hardy -Desigualtats (Matemàtica) -Fourier analysis in several variables -Singular integrals -Spaces of measurable functions |
Rights:
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(c) American Mathematical Society, 1998
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Document type:
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Article Article - Published version |
Published by:
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American Mathematical Society
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