Hardy's inequalities for monotone functions on partially ordered measure spaces

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We characterize the weighted Hardy's inequalities for monotone functions in ${\mathbb R^n_+}.$ In dimension $n=1$, this recovers the classical theory of $B_p$ weights. For $n>1$, the result was only known for the case $p=1$. In fact, our main theorem is proved in the more general setting of partially ordered measure spaces.
14 pages

Keywords

Classical Analysis and ODEs, 46E30, 46B25

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/75102

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0505105
 http://arxiv.org/abs/math/0505105

Collections

arXiv