Trudy Mat. Inst. Steklova, 2006, Volume 255

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

2006, Volume 255

General information

Contents

Function spaces, approximation theory, and nonlinear analysis

Collected papers

	Preface B. S. Kashin		7
	Hardy-Type Inequalities on Planar and Spatial Open Sets F. G. Avkhadiev		8
	Polyharmonic Dirichlet Problems H. Begehr, Vu Thi Ngoc Ha, Zh. Zhang		19
	Local Convergence in Measure on Semifinite von Neumann Algebras A. M. Bikchentaev		41
	Multiplicative Inequalities for the $L_1$ Norm: Applications in Analysis and Number Theory S. V. Bochkarev		55
	Pointwise Characterization of Sobolev Classes B. Bojarski		71
	Indefinite Sturm–Liouville Problem for Some Classes of Self-similar Singular Weights A. A. Vladimirov, I. A. Sheipak		88
	Grid Approximation of the First Derivatives of the Solution to the Dirichlet Problem for the Laplace Equation on a Polygon E. A. Volkov		99
	On the Stability of the Index of Unbounded Nonlocal Operators in Sobolev Spaces P. L. Gurevich		116
	Decompositions of the Sobolev Scale and Gradient–Divergence Scale into the Sum of Solenoidal and Potential Subspaces Yu. A. Dubinskii		136
	Lieb–Thirring Integral Inequalities and Sharp Bounds for the Dimension of the Attractor of the Navier–Stokes Equations with Friction A. A. Ilyin		146
	Some Problems for Sobolev Spaces on the Half-line G. A. Kalyabin		161
	Entropy Numbers in Weighted Function Spaces. The Case of Intermediate Weights T. Kühn		170
	Orthogonal Curvilinear Coordinate Systems Corresponding to Singular Spectral Curves A. E. Mironov, I. A. Taimanov		180
	Nikol'skii's Inequality for Different Metrics and Properties of the Sequence of Norms of the Fourier Sums of a Function in the Lorentz Space E. D. Nursultanov		197
	Variational Linear Problems in Wave–Obstacle Interaction C. D. Pagani, D. Pierotti		216
	Comparison of the Best Uniform Approximations of Analytic Functions in the Disk and on Its Boundary A. A. Pekarskii		227
	Hardy's Inequality with Three Measures D. V. Prokhorov		233
	On Elliptic Equations and Systems with Critical Growth in Dimension Two B. Ruf		246
	On Universal Estimators in Learning Theory V. N. Temlyakov		256
	On Recovering Differential Systems on a Finite Interval from Spectra V. A. Yurko		273