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arXiv · 2002.01888

Weighted Inequalities for One-sided Fractional Minimal Function

Duranta Chutia·Rajib Haloi
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Abstract

In this article, we present weighted norm inequality for a fractional one-sided minimal function. We prove weighted weak and strong type norm inequalities for the one-sided minimal function on $\mathbb{R}.$ We construct two weight classes to ensure the sufficient and necessary part of the weak and strong type estimates. Later, we establish an equivalence relation between these two weight classes.

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Duranta Chutia, Rajib Haloi. 2020-02-05. Weighted Inequalities for One-sided Fractional Minimal Function. https://arxiv.org/abs/2002.01888

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