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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2005, Volume 248, Pages 144–152 (Mi tm127)  
This article is cited in 3 scientific papers (total in 3 papers)

A Remark on $k$th Order Hardy Inequalities

A. Kufner

Czech Technical University
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Abstract: Conditions on the weight functions are derived that guarantee the validity of the higher order Hardy inequality for classes of functions satisfying rather general boundary conditions. The approach uses the Green function of a certain boundary value problem and is illustrated by the case of second-order Hardy inequality, for which even necessary and sufficient conditions are derived.
Received in September 2004
Bibliographic databases:
UDC: 517.518
Language: Russian
Citation: A. Kufner, “A Remark on $k$th Order Hardy Inequalities”, Studies on function theory and differential equations, Collected papers. Dedicated to the 100th birthday of academician Sergei Mikhailovich Nikol'skii, Trudy Mat. Inst. Steklova, 248, Nauka, MAIK «Nauka/Inteperiodika», M., 2005, 144–152; Proc. Steklov Inst. Math., 248 (2005), 138–146
Citation in format AMSBIB
\Bibitem{Kuf05}
\by A.~Kufner
\paper A Remark on $k$th Order Hardy Inequalities
\inbook Studies on function theory and differential equations
\bookinfo Collected papers. Dedicated to the 100th birthday of academician Sergei Mikhailovich Nikol'skii
\serial Trudy Mat. Inst. Steklova
\yr 2005
\vol 248
\pages 144--152
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm127}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2165924}
\zmath{https://zbmath.org/?q=an:1124.26014}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2005
\vol 248
\pages 138--146
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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