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arXiv · 1212.2076

On necessary and sufficient conditions for the variable exponent Hardy type inequality

Farman Mamedov
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Abstract

We derive a number of equivalent criterions for the variable exponent Hardy type inequality |\frac{1}{x}\int_{0}^{x}f(t)dt|_{L^{p(.)}(0,1)}\leq C|f|_{L^{p(.)}(0,1)}; f\geq 0. to hold, whenever the exponent $p:(0,1)\to (1,\infty)$ is increasing or decreasing near small neighborhood of the origin.

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Farman Mamedov. 2012-12-10. On necessary and sufficient conditions for the variable exponent Hardy type inequality. https://arxiv.org/abs/1212.2076

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