Geodesic

Investigations in the theory of differentiable functions of many variables and its applications. Part 7

Sommaire

Projection representation of functions by a~difference
p. 3-10
Estimates of the error of cubature formulas with respect to smoothness of function
p. 11-23
Partitions of unity
p. 24-30
Extension of functions from $L_p$
p. 31-51
Extension of functions from anisotropic spaces with preservation of class
p. 52-66
On the smoothness of solutions of the Dirichlet problem, and the composite mesh method on polyhedra
p. 67-98
Description of traces for certain function spaces
p. 99-127
Hypoellipticity criteria in terms of power and strength of operators
p. 128-142
Comparison of the power of polynomials and their hypoellipticity
p. 143-159
Description of traces for anisotropic spaces of Triebel--Lizorkin type
p. 160-173
Behavior at infinity of functions from Liouville classes. Riesz potentials of arbitrary order
p. 174-197
The exterior Dirichlet problem for a~degenerate elliptic operator
p. 198-211
A~variational problem for an equation of elliptic type with degeneration on the boundary
p. 212-238
Inequalities between different seminorms of differentiable functions of several variables
p. 239-264
Imbedding theorems for spaces with a~weight and their application to the study of the spectrum of a~Schr\"odinger operator
p. 265-305
A~mixed $q$-integral $p$-variation, and theorems of equivalence and imbedding of classes of functions with a~mixed modulus of smoothness
p. 306-319