Trudy Mat. Inst. Steklov., 1974, Volume 131

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

1974, Volume 131

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General information

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Contents

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

	Multiplicative estimates for integral norms of differentiable functions of several variables O. V. Besov		3
	Estimates for the moduli of continuity of abstract functions defined in a domain O. V. Besov		16
	A constructive characterization of classes of functions with a dominating mixed derivative Ya. S. Bugrov		25
	Sobolev's integral representation and Taylor's formula V. I. Burenkov		33
	The density of infinitely differentiable functions in Sobolev spaces for an arbitrary open set V. I. Burenkov		39
	The approximation of functions in the space $W_p^r(\Omega )$ by compactly supported functions for an arbitrary open set $\Omega $ V. I. Burenkov		51
	On the search for the maximum of a function and on the approximate global solution of a system of nonlinear equations E. A. Volkov		64
	Theorems on the extension of functions from the spaces $S_p^rW$, $S^r_{p,\theta}B$ across the boundary of the domain $\Omega $ A. D. Dzhabrailov		81
	The comparison of differential operators and differential operators of constant strength G. G. Kazaryan		94
	A method of fictitious domains for the second and third boundary value problems V. D. Kopchenov		119
	Some weighted imbedding theorems in a domain with a nonsmooth boundary A. F. Kocharli		128
	Certain inequalities for fractional seminorms Yu. V. Kuznetsov		147
	Properties of functions in the spaces $\Lambda ^r_{p,\theta }$ P. I. Lizorkin		158
	The behavior at infinity of functions with differential-difference properties prescribed in $L_{p}$ Yu. S. Nikol'skii		182
	Imbedding of classes of functions with a dominating mixed modulus of smoothness M. K. Potapov		199
	The structural and constructive characterization of certain classes of functions M. K. Potapov		211
	Properties of the solution of a certain class of quasilinear second order elliptic equations in divergence form G. N. Yakovlev		232

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