Cerdà Martín, Joan LluísMartín i Pedret, Joaquim2009-04-142009-04-1419981088-6826https://hdl.handle.net/2445/7722We 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.5 p.application/pdfeng(c) American Mathematical Society, 1998Operadors integralsEspais de HardyDesigualtats (Matemàtica)Fourier analysis in several variablesSingular integralsSpaces of measurable functionsConjugate Hardy's inequalities with decreasing weightsinfo:eu-repo/semantics/article139363info:eu-repo/semantics/openAccess