Theory of multipliers in spaces of differentiable functions

Abstract

CONTENTS Introduction Chapter I. Embedding theorems for Sobolev spaces § 1.1. The summability with respect to a measure of functions from the spaces and , § 1.2. The summability with respect to a measure of functions from the spaces and Chapter II. Multipliers in pairs of Sobolev spaces § 2.1. A description of the spaces and § 2.2. The space § 2.3. The space Chapter III. A survey of other results about spaces of multipliers § 3.1. Multipliers in pairs of spaces of Bessel potentials § 3.2. Multipliers in pairs of Slobodetskii spaces § 3.3. Some properties of multipliers § 3.4. Multipliers in pairs of Sobolev spaces in a domain § 3.5. Multipliers on the space BMO § 3.6. Multipliers on certain spaces of analytic functions § 3.7. Applications of multipliers References