Geodesic

Theory of functions and differential equations

Sommaire

Preface
p. 3-4
Bases of splashes and linear operators in anisotropic Lizorkin--Triebel spaces
p. 5-30
Weight spaces of differentiable functions of variable smoothness
p. 31-40
Vall\'ee--Poussin series in the spaces BMO, $L_1$, and $H^1(D)$ and multiplier inequalities
p. 41-64
Calculation of the norm of a~positive operator on the cone of monotone functions
p. 65-89
The fast block method for solving the Laplace equation on polygons under piecewise constant boundary conditions
p. 90-100
Spaces of Banach-valued analytic and periodic functions
p. 101-119
An effective description of the sum of some pairs of spaces of the Besov and Lizorkin--Triebel types
p. 120-128
On the expansion of functions into series whose partial sums are the Steklov mean functions
p. 129-170
Best average approximation of the classes of differentiable functions by algebraic polynomials
p. 171-188
Approximation on a~manifold by algebraic polynomials
p. 189-217
Correlation between the Besov--Nikol'skii and Weyl--Nikol'skii classes of functions
p. 218-238
A~quasi-linear system of equations of electrolysis
p. 239-263
Localizing the conditions of integrability of trigonometric series
p. 264-273
Qualitative analysis of the solution to one of S.\,L.~Sobolev's problems for $t\to\infty$
p. 274-283