Hardy-type inequality for 0<p<1 and hypodecreasing functions

Victor Burenkov; Tamara Tararykova; Abdelkader Senouci

Hardy-type inequality for 0<p<1 and hypodecreasing functions

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Authors

Victor Burenkov
Tamara Tararykova
Abdelkader Senouci

Keywords:

the Hardy inequality, hypodecreasing functions

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.

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Published

2024-05-21

How to Cite

Burenkov, V., Tararykova, T., & Senouci, A. (2024). Hardy-type inequality for 0<p<1 and hypodecreasing functions. Eurasian Mathematical Journal, 1(3). Retrieved from https://emj.enu.kz/index.php/main/article/view/50