On some sharp Landau--Kolmogorov--Nagy type inequalities in Sobolev spaces of multivariate functions

V. F. Babenko, V. V. Babenko, O. V. Kovalenko +1

For a function $f$ from the Sobolev space $W^{1,p}(C)$ ($C\subset {\mathbb{R}}^d$ is an open convex cone), a sharp inequality that estimates $\Vert f{\Vert }_{L_{\infty }}$ via the $L_p$-norm…