Geodesic

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

Preface
p. 3-4
Representation and embedding theorems for function spaces $S^{(r)}_{p,\theta}B(R_n)$ and $S^{(r)}_{p^{\ast},\theta}B$ ($0\le x_j\le 2\pi$; $j=1,\dots,n$)
p. 5-34
Continuation of certain classes of differentiable functions beyond the boundary of a region
p. 35-44
Embedding theorems for certain function classes
p. 45-64
Local lemmas for certain classes of differentiable functions
p. 65-71
Certain properties of the spaces $W_p^{(r)}(\Omega)$ and $W_p^{(r,r)}(\Omega)$ for $0$
p. 72-88
Differentiability properties of solutions of boundary value problems for the Laplace and Poisson equations on a rectangle
p. 89-112
Differentiability properties of solutions of boundary value problems for the Laplace equation on a polygon
p. 113-142
Classification of differentiable functions on the basis of spaces with dominant mixed derivatives
p. 143-167
Some inequalities in the $L_2$ metric for solutions of equations of elliptic type and for their derivatives near the boundary
p. 168-191