Conjugate Hardy's inequalities with decreasing weights

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