Investigations in Linear Operators and Function Theory: Part I

Description

Front Matter ....Pages i-vii The Banach—Rudin—Carleson Interpolation Theorems and the Norms of Embedding Operators for Some Classes of Analytical Functions (S. A. Vinogradov)....Pages 1-28 Multipliers and Divisors of Cauchy—Stieltjes Integrals (S. A. Vinogradov, M. G. Goluzina, V. P. Khavin)....Pages 29-42 The Dirichlet Problem for Second-Order Quasi-Linear Nonuniformly Elliptic Equations (A. V. Ivanov)....Pages 43-52 Integral Representations of Functions of Classes Lpl(G) and Embedding Theorems (V. P. Il’in)....Pages 53-90 Nonstandard Ideals, Unicellularity, and Algebras Associated with a Shift Operator (N. K. Nikol’skii)....Pages 91-111 On the Representation of Doubly Stochastic Integral Operators by Means of Disjoint Isomorphisms (V. N. Sudakov)....Pages 112-119 A Decomposition Theorem for the Translation-Invariant Subspace of a Canonical Differential Operator (M. V. Buslaeva)....Pages 120-123 On Levinson’s Theorem Concerning Families of Analytic Functions (V. P. Guraii)....Pages 124-127 An Operator Calculus Based on The Cauchy—Green Formula, and the Quasi Analyticity of the Classes D(h) (E. M. Dyn’kin)....Pages 128-131 Multiple Shift Operator with Simple Spectrum (N. K. Nikol’skii)....Pages 132-136 Analytic Functions Whose Boundary Values have Lipschitz Modulus (V. P. Khavin, F. A. Shamoyan)....Pages 137-138