Trudy Mat. Inst. Steklova, 2003, Volume 243

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

2003, Volume 243

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Contents

Function spaces, approximations, and differential equations

Collected papers. Dedicated to the 70th birthday of Oleg Vladimirovich Besov, corresponding member of RAS

	To the 70th birthday of O. V. Besov		7
	Besov Spaces S. M. Nikol'skii		9
	The List of Scientific Works of O. V. Besov		13
	On the Boundedness of Singular Integral Operators. I S. S. Ajiev		17
	Positive Values of Harmonic Polynomials N. N. Andreev, V. A. Yudin		46
	Characterizations of the Nikol'skii–Besov and Lizorkin–Triebel Function Spaces of Mixed Smoothness D. B. Bazarkhanov		53
	On the Global Solvability of Semilinear Parabolic Systems with Mixed Right-Hand Side K. O. Besov		66
	Equivalent Normings of Spaces of Functions of Variable Smoothness O. V. Besov		87
	Multiplicative Inequalities for Functions from the Hardy Space $H^1$ and Their Application to the Estimation of Exponential Sums S. V. Bochkarev		96
	On Sharp Constants in Inequalities for the Modulus of a Derivative V. I. Burenkov, V. A. Gusakov		104
	Correct Solvability of Hyperbolic-Type Equations with Delay in a Hilbert Space V. V. Vlasov, K. I. Shmatov		127
	A Method of Composite Grids on a Prism with an Arbitrary Polygonal Base E. A. Volkov		138
	On Optimal Embedding of Calderon Spaces and Generalized Besov Spaces M. L. Gol'dman, R. A. Kerman		161
	Two-Weight Inequalities for Integral Operators in $L_p$-Spaces of Banach-Valued Functions and Their Applications V. S. Guliev, R. A. Bandaliev		194
	Strengthened Sobolev Spaces for Domains with Irregular Boundary E. G. D'yakonov		213
	Extrapolations with the Least Norms in the Sobolev Spaces $W_2^n$ on the Half-Axis and the Whole Axis G. A. Kalyabin		230
	On the Gram Matrices of Systems of Uniformly Bounded Functions B. S. Kashin, S. J. Szarek		237
	On the Besov and Besov–Nikol'skii Classes and on Estimates for the Mixed Moduli of Smoothness of Fractional Derivatives M. K. Potapov, B. V. Simonov, S. Yu. Tikhonov		244
	On a priori Estimates and Gradient Catastrophes of Smooth Solutions to Hyperbolic Systems of Conservation Laws S. I. Pokhozhaev		257
	Weighted Estimates for the Riemann–Liouville Operators and Applications D. V. Prokhorov, V. D. Stepanov		289
	Embedding Theorems for Besov Spaces over Multiplicative Price Bases E. S. Smailov, Z. R. Suleimenova		313
	Approximation of Derivatives by the Derivatives of Interpolating Splines Yu. N. Subbotin, S. A. Telyakovskii		320
	Embedding of the Sobolev Space into the Orlicz and BMO Spaces with Power Weights Boris V. Trushin		334
	Qualitative Properties of Functions that Belong to Generalized Sobolev Spaces S. V. Uspenskii, E. N. Vasil'eva		346