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Matematicheskie Zametki, 2009, Volume 86, Issue 6, Pages 870–883
DOI: https://doi.org/10.4213/mzm4887 (Mi mzm4887) 		 
Hardy's Inequality with Measures: The Case $0<p<1$

D. V. Prokhorov

Computer Centre Far-Eastern Branch of RAS
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DOI: https://doi.org/10.4213/mzm4887
Abstract: 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 $0<p<1$.
Keywords: Hardy's inequality with measures, $\sigma$-algebra, Borel subset, $\sigma$-finite measure, Hölder's inequality, Jensen's inequality, Lebesgue measure, discrete measure, Radon–Nikodym derivative.
Received: 28.03.2008
English version:
Mathematical Notes, 2009, Volume 86, Issue 6, Pages 811–823
DOI: https://doi.org/10.1134/S0001434609110236
Bibliographic databases:
UDC: 517
Language: Russian
Citation: D. V. Prokhorov, “Hardy's Inequality with Measures: The Case $0<p<1$”, Mat. Zametki, 86:6 (2009), 870–883; Math. Notes, 86:6 (2009), 811–823
Citation in format AMSBIB
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