On Sharp Estimates of Even-Order Derivatives in Sobolev Spaces

Author:

Garmanova T. A.,Sheipak I. A.

Publisher

Pleiades Publishing Ltd

Subject

Applied Mathematics,Analysis

Reference11 articles.

1. G. A. Kalyabin, “Sharp estimates for derivatives of functions in the Sobolev classes $$\stackrel{\circ}{W}{\kern-2pt}^{r}_2(-1;1)$$”, Tr. Mat. Inst. Steklova Ross. Akad. Nauk, 269 (2010), 143–149; English transl.:, Proc. Steklov Inst. Math., 269 (2010), 137–142.

2. A. I. Nazarov and A. N. Petrova, “On exact constants in some embedding theorems of high order”, Vestn. S.-Peterburg. Univ. Math. Mekh. Astron., :4 (2008), 16–20; English transl.:, Vestn. St. Petersburg Univ., Math., :4 (2008), 298–302.

3. Yu. P. Petrova, “Spectral asymptotics for problems with integral constraints”, Mat. Zametki, 102:3 (2017), 405–414; English transl.:, Math. Notes, 102:3 (2017), 369–377.

4. H. Yamagishi, “The best constant of Sobolev inequality corresponding to Dirichlet–Neumann boundary value problem for $$(-1)^M(d/dx)^{2M}$$”, Hiroshima Math. J., 39:3 (2009), 421–442.

5. H. Yamagishi, Y. Kametaka, A. Nagai, K. Watanabe, and K. Takemura, “Riemann zeta function and the best constants of five series of Sobolev inequalities”, RIMS Kôky\^uroku Bessatsu, B13 (2009), 125–139.

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