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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Bibliographic Details
Date:2023
Main Authors: Babenko, V., Kovalenko, O., Parfinovych, N., Бабенко, Владислав, Бабенко, Віра, Коваленко, Oлег, Парфінович, Наталія
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2023
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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Ukrains’kyi Matematychnyi Zhurnal