CERTAIN SPACES OF GENERALIZED FUNCTIONS AND EMBEDDING THEOREMS

Abstract

CONTENTS Introduction Chapter I. The spaces and their properties § 1. The spaces § 2. The spaces § 3. The spaces Chapter II. Embedding theorems § 4. The concept of embedding theorems § 5. Embedding theorems for functions defined on the whole space § 6. Restrictions of functions belonging to the space § 7. Embedding theorems for a bounded domain § 8. Complete continuity of the embedding and restriction operators § 9. The embedding of in . Examples Appendix I. Embedding theorems for spaces of vector functions § 10. Weight matrices and their properties § 11. The spaces and and their properties § 12. Embedding theorems for the spaces and Appendix II § 13. The spaces References