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arXiv · 2604.14658

On the Weighted Hardy Type Inequality for Functions from $W^1_p$ Vanishing on Small Parts of the Boundary

Yu. O. Koroleva
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Abstract

A new weighted Hardy-type inequality for functions from the Sobolev space $W_{p}^{1}$ is proved. It is assumed that functions vanish on small alternating pieces of the boundary. The proved inequality generalizes the classical known weighted Hardy-type inequalities.

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BibTeXRIS

Yu. O. Koroleva. 2026-04-16. On the Weighted Hardy Type Inequality for Functions from $W^1_p$ Vanishing on Small Parts of the Boundary. https://arxiv.org/abs/2604.14658

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