On Hardy-Type Inequalities in Weighted Variable Exponent Spaces \(L_{p(x), \omega}\) for \(0 < p(x) < 1\)


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Authors

  • Rovshan Alifaga ogly Bandaliev

Keywords:

The Hardy inequality, \(L_{p(x), \omega}\)-spaces with \(0 < p(x) < 1\), Weights, Embeddings

Abstract

In this paper two-weighted inequalities for the Hardy operator and its dual operator acting from one weighted variable Lebesgue space to another weighted variable Lebesgue space are proved. In particular, sufficient conditions on the weights ensuring the validity of two-weighted inequalities of Hardy type are found. Also an embedding theorem for weighted variable Lebesgue spaces is proved.

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Published

2013-12-30

How to Cite

Bandaliev, R. A. ogly. (2013). On Hardy-Type Inequalities in Weighted Variable Exponent Spaces \(L_{p(x), \omega}\) for \(0 < p(x) < 1\). Eurasian Mathematical Journal, 4(4), 5–16. Retrieved from https://emj.enu.kz/index.php/main/article/view/551

Issue

Vol. 4 No. 4 (2013)

Section

Articles