Trudy Mat. Inst. Steklov., 1986, Volume 173

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

1986, Volume 173

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Contents

Investigations in the theory of differentiable functions of many variables and its applications. Part 11

Collection of papers

	Hörmander's theorem on Fourier multipliers O. V. Besov		3
	Embedding of Sobolev spaces in domains with a decaying flexible cone condition O. V. Besov		14
	Linear methods of summability of Fourier series and fractional difference operators Ya. S. Bugrov		32
	Exact constants in inequalities for norms of intermediate derivatives on a finite interval. II V. I. Burenkov		38
	Improvement of extension operators by means of approximation operators that preserve boundary values V. I. Burenkov, E. M. Popova		50
	An approximate method of conformal mapping of multiply connected polygons onto canonical domains E. A. Volkov		55
	An asymptotically fast approximate method of finding a solution of the difference Laplace equation on mesh segments E. A. Volkov		69
	Embedding of constructive and structural Lipschitz spaces in symmetric spaces M. L. Gol'dman		90
	Spaces of anisotropic potentials. Applications A. A. Davtyan		113
	Denseness of compactly supported functions in a weighted space with strongly degenerate weight L. N. Domysheva		125
	Convergence in the mean of Fourier–Jacobi series with quasimonotone coefficients S. G. Kal'nei		136
	An analogue for an infinite interval of the Lizorkin–Nikol'skii inequality L. D. Kudryavtsev		140
	On the theory of Fourier multipliers P. I. Lizorkin		149
	Limit cases of theorems on $\mathscr F L_p$-multipliers P. I. Lizorkin		164
	Approximation by spherical functions P. I. Lizorkin, S. M. Nikol'skii		181
	Inequalities of Bernstein– Nikol'skii type and approximation of generalized Sobolev classes G. G. Magaril-Il'yaev		190
	Constructive description of traces of spaces of differentiable functions of several variables G. A. Mamedov		205
	Polynomial traces of functions from weighted spaces B. V. Tandit		235
	Approximation of periodic functions of several variables by combinations of functions that depend on a smaller number of variables V. N. Temlyakov		243
	Coercive properties of an elliptic equation with degeneration on the boundary V. V. Shan'kov		253