Investigations in Linear Operators and Function Theory: Part I

✍ Scribed by Nikolai K. Nikolski

• Publisher: Springer US
• Year: 1972
• Tongue: English
• Leaves: 145
• Series: Seminars in mathematics
• Edition: 1st ed.
• Category: Library

✦ Table of Contents

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

✦ Subjects

Science, Humanities and Social Sciences, multidisciplinary; Science, Humanities and Social Sciences, multidisciplinary