Geodesic
Hardy's Inequality with Measures: The Case $0$
Matematičeskie zametki, Tome 86 (2009) no. 6, pp. 870-883

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In this paper, we obtain criteria for the validity of Hardy's inequality with three countably finite measures on the number line for the case $0$.
Keywords: Hardy's inequality with measures, $\sigma$-algebra, Borel subset, $\sigma$-finite measure, Hölder's inequality, Jensen's inequality, discrete measure, Radon–Nikodym derivative.
Mots-clés : Lebesgue measure 
@article{MZM_2009_86_6_a5,
     author = {D. V. Prokhorov},
     title = {Hardy's {Inequality} with {Measures:} {The} {Case} $0<p<1$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {870--883},
     publisher = {mathdoc},
     volume = {86},
     number = {6},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2009_86_6_a5/}
}
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D. V. Prokhorov. Hardy's Inequality with Measures: The Case $0