On the Weighted Hardy Type Inequality for Functions from $W^1_p$ Vanishing on Small Parts of the Boundary
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910134762995712 |
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| author | Koroleva, Yu. O. |
| author_facet | Koroleva, Yu. O. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_14658 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the Weighted Hardy Type Inequality for Functions from $W^1_p$ Vanishing on Small Parts of the Boundary Koroleva, Yu. O. Classical Analysis and ODEs Functional Analysis 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. |
| title | On the Weighted Hardy Type Inequality for Functions from $W^1_p$ Vanishing on Small Parts of the Boundary |
| topic | Classical Analysis and ODEs Functional Analysis |
| url | https://arxiv.org/abs/2604.14658 |