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Eurasian Mathematical Journal, 2023, Volume 14, Number 2, Pages 94–106
DOI: https://doi.org/10.32523/2077-9879-2023-14-2-94-106
(Mi emj472)
 

Hardy inequalities for $p$-weakly monotone functions

M. Saucedo

Centre de Recerca Matematica, Edifici C, Bellaterra 08193, Spain
References:
Abstract: We prove Hardy-type inequalities
$$ \left(\int_d^\infty\left|\int_d^s f(x)dx\right|^p s^\beta ds\right)^{1/p}\leqslant C\left(\int_d^\infty|f(s)|^qs^\alpha ds\right)^{1/q} $$
for the class of $p$-weakly monotone functions with $q$ or $p$ smaller than $1$ and $d\geqslant 0$.
Keywords and phrases: Hardy-type inequality, generalized monotonicity.
Received: 16.01.2022
Revised: 24.03.2023
Document Type: Article
MSC: 35J20, 35J25
Language: English
Citation: M. Saucedo, “Hardy inequalities for $p$-weakly monotone functions”, Eurasian Math. J., 14:2 (2023), 94–106
Citation in format AMSBIB
\Bibitem{Sau23}
\by M.~Saucedo
\paper Hardy inequalities for $p$-weakly monotone functions
\jour Eurasian Math. J.
\yr 2023
\vol 14
\issue 2
\pages 94--106
\mathnet{http://mi.mathnet.ru/emj472}
\crossref{https://doi.org/10.32523/2077-9879-2023-14-2-94-106}
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