Trudy Mat. Inst. Steklova, 1999, Volume 227

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

1999, Volume 227

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Contents

Investigations in the theory of differentiable functions of many variables and its applications. Part 18

Collection of papers

	Characterizations of $B^s_{p,q}(G),L^s_{p,q}(G),W^s_p(G)$ and certain other function spaces. Applications S. S. Ajiev		7
	On the Nikol'skii Classes of Polyharmonic Functions K. O. Besov		43
	On Spaces of Functions of Variable Smoothness Defined by Pseudodifferential Operators O. V. Besov		56
	Estimates for Certain Integral Operators O. V. Besov		75
	Extension by Zero of Functions in Spaces with Generalized Smoothness for Degenerate Domains V. I. Burenkov, T. V. Verdiev		78
	Hardy-Type Inequalities for Moduli of Continuity V. I. Burenkov, M. L. Gol'dman		92
	On the Solvability and Estimates of Solutions to Functional Differential Equations in Sobolev Spaces V. V. Vlasov		109
	Criterion of Solvability for Boundary Value Problems for the Laplace and Poisson Equations on Special Triangles and a Rectangle in Algebraic Polynomials E. A. Volkov		122
	Exact Constants in Kolmogorov-Type Inequalities M. I. Zelikin, L. F. Zelikina		137
	Bilateral Estimates for the Least Norm of Extension Operators from Plane Convex Domains for Sobolev Spaces G. A. Kalyabin		146
	Upper Estimates for the Coefficients of Algebraic Polynomials via Their $L_p$-Norms on Intervals G. A. Kalyabin		152
	On the Nonexistence of Positive Solutions to Semilinear Elliptic Equations V. V. Kurta		162
	Embedding of Sobolev Spaces on Hölder Domains D. A. Labutin		170
	An Interpolation Method for Deriving a priori Estimates for Strong Solutions to Second-Order Semilinear Parabolic Equations G. G. Laptev		180
	Nonexistence of Positive Solutions for Quasilinear Elliptic Problems on $\mathbb R^N$ E. Mitidieri, S. I. Pokhozhaev		192
	A Boundary Value Problem for Polynomials S. M. Nikol'skii		223
	Multipliers of Multiple Fourier Series E. D. Nursultanov, N. T. Tleukhanova		237
	Approximation of Functions Characterized by One Nonsymmetric Operator of Generalized Translation M. K. Potapov		243
	The Existence and Nonexistence of Periodic Solutions to Certain Nonlinear Hyperbolic Equations S. I. Pokhozhaev		260
	On a Theorem of Bui, Paluszyński, and Taibleson V. S. Rychkov		286
	Certain Special Multiple Sine Series S. A. Telyakovskii		299
	Differential Properties of the Solution to the First Mixed Boundary Value Problem for the Sobolev System S. V. Uspenskii, E. N. Vasil'eva, S. I. Yanov		311