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On weighted weak type inequalities for modified Hardy operators
Authors:F. J. Martí  n-Reyes   P. Ortega
Affiliation:Análisis Matemático, Facultad de Ciencias, Universidad de Málaga, 29071 Málaga, Spain ; Análisis Matemático, Facultad de Ciencias, Universidad de Málaga, 29071 Málaga, Spain
Abstract:We characterize the pairs of weights $(w,v)$ for which the modified Hardy operator $Tf(x)=g(x)int _{0}^{x}f$ applies $L^{p}(v)$ into weak-$L^{q}(w)$ where $g$ is a monotone function and $1le q<p<infty $.

Keywords:Hardy operators   weights   inequalities
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