Geodesic

Function spaces, harmonic analysis, and differential equations

Sommaire

Preface
Some Words about Myself
p. 8-18
S.\,M.~Nikol'skii's Works on the Theory of Approximation of Functions
p. 19-24
S.\,M.~Nikol'skii's Works on the Theory of Function Spaces and Its Applications
p. 25-30
The List of Scientific Works of S.\,M.~Nikol'skii
p. 31-32
Phillips-Type Theorems for Nikol'skii and Certain Other Function Spaces
p. 33-44
Polynomials of Least Deviation from Zero and Chebyshev-Type Cubature Formulas
p. 45-57
Norm-Generating Pseudodifferential Operators in the Spaces $W_p^s(\mathbb R^n)$
p. 58-71
On the Compactness of Embeddings of Weighted Sobolev Spaces on a~Domain with Irregular Boundary
p. 72-93
A~Method for Estimating the $L_1$ Norm of an Exponential Sum Based on Arithmetic Properties of the Spectrum
p. 94-101
On the Solvability, in the Class of Polynomials, of the Dirichlet Problem for the Laplace Equation on an Arbitrary Polygon
p. 102-114
Sharp Estimates for the Norms of Hardy-Type Operators on the Cones of Quasimonotone Functions
p. 115-143
Boundary Control of Spherically Symmetric Oscillations of a~Three-Dimensional Ball
p. 144-155
On a~Procedure of Projective Fibering of Functionals on Banach Spaces
p. 156-163
Boundedness and Compactness Criteria for a~Generalized Truncated Potential
p. 164-178
Best Approximation and Symmetric Decreasing Rearrangements of Functions
p. 179-193
Asymptotics of Solutions to Differential Equations near Singular Points
p. 194-217
Sharpness of Sobolev Inequalities for a~Class of Irregular Domains
p. 218-222
On the Absence of Solutions for a~Class of Singular Semilinear Differential Inequalities
p. 223-235
On Convergence of Weak Greedy Algorithms
p. 236-247
Nonexistence of Weak Solutions for Some Degenerate and Singular Hyperbolic Problems on $\mathbb R_+^{n+1}$
p. 248-267
Approximation of a~Class of Singular Integrals by Algebraic Polynomials with Regard to the Location of a~Point on an Interval
p. 268-285
More on a~Boundary Value Problem with Polynomials
p. 286-288
Direct and Inverse Theorems of Approximation Theory for the $m$th Generalized Modulus of Smoothness
p. 289-297
On Integral Operators with Variable Limits of Integration
p. 298-317
On the Uniform Convergence of the Fourier Series of Functions of Bounded Variation
p. 318-326
Limit Investigation at Infinity of the Sobolev--Wiener Function Classes in Tube Domains
p. 327-335