Trudy Mat. Inst. Steklova, 2001, Volume 232

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

2001, Volume 232

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Contents

Function spaces, harmonic analysis, and differential equations

Collected papers. Dedicated to the 95th anniversary of academician Sergei Mikhailovich Nikol'skii

	Preface		7
	Some Words about Myself S. M. Nikol'skii		8
	S. M. Nikol'skii's Works on the Theory of Approximation of Functions S. A. Telyakovskii		19
	S. M. Nikol'skii's Works on the Theory of Function Spaces and Its Applications O. V. Besov		25
	The List of Scientific Works of S. M. Nikol'skii		31
	Phillips-Type Theorems for Nikol'skii and Certain Other Function Spaces S. S. Ajiev		33
	Polynomials of Least Deviation from Zero and Chebyshev-Type Cubature Formulas N. N. Andreev, V. A. Yudin		45
	Norm-Generating Pseudodifferential Operators in the Spaces $W_p^s(\mathbb R^n)$ K. O. Besov		58
	On the Compactness of Embeddings of Weighted Sobolev Spaces on a Domain with Irregular Boundary O. V. Besov		72
	A Method for Estimating the $L_1$ Norm of an Exponential Sum Based on Arithmetic Properties of the Spectrum S. V. Bochkarev		94
	On the Solvability, in the Class of Polynomials, of the Dirichlet Problem for the Laplace Equation on an Arbitrary Polygon E. A. Volkov		102
	Sharp Estimates for the Norms of Hardy-Type Operators on the Cones of Quasimonotone Functions M. L. Gol'dman		115
	Boundary Control of Spherically Symmetric Oscillations of a Three-Dimensional Ball V. A. Il'in		144
	On a Procedure of Projective Fibering of Functionals on Banach Spaces Ya. Sh. Il'yasov		156
	Boundedness and Compactness Criteria for a Generalized Truncated Potential V. M. Kokilashvili		164
	Best Approximation and Symmetric Decreasing Rearrangements of Functions N. P. Korneichuk		179
	Asymptotics of Solutions to Differential Equations near Singular Points L. D. Kudryavtsev		194
	Sharpness of Sobolev Inequalities for a Class of Irregular Domains D. A. Labutin		218
	On the Absence of Solutions for a Class of Singular Semilinear Differential Inequalities G. G. Laptev		223
	On Convergence of Weak Greedy Algorithms E. D. Livshits, V. N. Temlyakov		236
	Nonexistence of Weak Solutions for Some Degenerate and Singular Hyperbolic Problems on $\mathbb R_+^{n+1}$ E. Mitidieri, S. I. Pohozaev		248
	Approximation of a Class of Singular Integrals by Algebraic Polynomials with Regard to the Location of a Point on an Interval V. P. Motornyi		268
	More on a Boundary Value Problem with Polynomials S. M. Nikol'skii		286
	Direct and Inverse Theorems of Approximation Theory for the $m$th Generalized Modulus of Smoothness M. K. Potapov		289
	On Integral Operators with Variable Limits of Integration V. D. Stepanov, E. P. Ushakova		298
	On the Uniform Convergence of the Fourier Series of Functions of Bounded Variation S. A. Telyakovskii		318
	Limit Investigation at Infinity of the Sobolev–Wiener Function Classes in Tube Domains S. V. Uspenskii, E. N. Vasil'eva		327