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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

1967, Volume 89

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Investigations in the theory of differentiable functions of many variables and its applications. Part 2


Work collection

Preface
3
Continuation of functions from $L_p^l$ and $W_p^l$
O. V. Besov
5
On the density of functions with compact support in $\mathcal L_{p,\theta}^l$ and the extension of functions
O. V. Besov
18
On the additivity of the classes of $W_p^{(r)}(\Omega )$
V. I. Burenkov
31
On the connection between the behavior of a solution of a partial differential equation at infinity and its differential properties
V. I. Burenkov
56
On summable regions
M. A. Galakhov
69
The properties of functions in certain weight spaces
A. D. Dzhabrailov
70
On the theory of “imbedding theorems”
A. D. Dzhabrailov
80
On the density of functions in $C^\infty(\overline\Omega)$ in the weight space $W_{p,\sigma}^m(\Omega)$
D. F. Kalinichenko
119
Fourier–Bessel transforms and imbedding theorems for weight classes
I. A. Kipriyanov
130
Theorems of Littlewood–Paley type for multiple Fourier integrals
P. I. Lizorkin
214
On multipliers of Fourier integrals in the spaces $L_{p,\theta}$
P. I. Lizorkin
231
Errata


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