|
This article is cited in 8 scientific papers (total in 8 papers)
Hardy-type inequality for $0<p<1$ and hypodecreasing functions
V. I. Burenkova, A. Senoucib, T. V. Tararykovaa a Faculty of Mechanics and Mathematics L. N. Gumilyov Eurasian National University, Astana, Kazakhstan
b Department of Mathematics Ibnou-Khaldoun University, Tiaret, Algeria
Abstract:
The notion of a hypodecreasing function is introduced. Some properties of hypodecreasing functions are proved and several examples are given. It is established that the Hardy-type inequality for $L_p$-spaces with $0<p<1$ is satisfied for some spaces of hypodecreasing functions. The obtained result is in a certain sense sharp.
Keywords and phrases:
the Hardy inequality, $L_p$-spaces with $0<p<1$, hypodecreasing functions.
Received: 12.07.2010
Citation:
V. I. Burenkov, A. Senouci, T. V. Tararykova, “Hardy-type inequality for $0<p<1$ and hypodecreasing functions”, Eurasian Math. J., 1:3 (2010), 27–42
Linking options:
https://www.mathnet.ru/eng/emj27 https://www.mathnet.ru/eng/emj/v1/i3/p27
|
Statistics & downloads: |
Abstract page: | 1004 | Full-text PDF : | 714 | References: | 476 |
|