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Some problems for Sobolev spaces on the half-line
Kalyabin G.A.
This paper is a survey of the results obtained by the author in 1996-2004 and connected
Erratum: Sharp estimates for functions of class W̊ 2 r (-1, 1) (Doklady Mathematics (2009) 80:2 (713-715))
Kalyabin G.A.
Erratum: Sharp estimates for functions of class W̊ 2 r (-1, 1) (Doklady Mathematics (2009) 80:2 (713-715))
Kalyabin G.A.
Sharp Constants in One-Dimensional Poincaré-Type Inequalities
Kalyabin G.A.
Sharp estimates for derivatives of functions in the Sobolev classes W̊2 r(-1, 1)
Kalyabin G.A.
(-1,1) ≤ 1. As a corollary, it is shown that the first eigenvalue λ1,r of the operator (-D2)r
On two-sided and asymptotic estimates for the norms of embedding operators of W̊2 n(-1, 1) into Lq(dμ)
Kalyabin G.A.
in regular cases. As a corollary, an asymptotic formula (as n → ∞) is established for the minimum eigenvalues
Sharp constants in one-dimensional Poincaré-type inequalities
Kalyabin G.A.
New examples of Pompeiu functions
Kalyabin G.A., Filipczak Tomasz
_{kin Bbb{N}}vert x-x_{k}vert ^{1/gamma _{k}}. He proves that varphi(x) >0 a.e. on I, that varphi
Divergence conditions for Riesz means of Rademacher functions
Kalyabin G.A.
Some of the divergence conditions for Riesz means of Rademacher functions have been determined. A
On existence conditions for sequences uniformly distributed with respect to Voronoi's methods
Kalyabin G.A.
for the Voronoi and Riesz methods to be regular, for the convergence of the given sequence to a finite limit

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