Some sharp Landau-Kolmogorov–Nagy-type inequalities in Sobolev spaces of multivariate functions
UDC 517.5 For a function $f$ from the Sobolev space $W^{1,p}(C),$ where $C\subset R^d$ is an open convex cone, we establish a sharp inequality  estimating $\| f\|_{L_{\infty}}$ via the $L_{p}$-norm of its gradient and a seminorm of the function. With the help of this inequa...
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| Date: | 2023 |
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| Main Authors: | , , , , , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2023
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7680 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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