Envelopes and Sharp Embeddings of Function Spaces

ISBN-13: 9780367390310 / Angielski / Miękka / 2019 / 222 str.

Dorothee D. Haroske

Opis

For the first time in book form, this work presents the new theory of growth and continuity envelopes in function spaces. These concepts originate from the classical result of the Sobolev embedding theorem, ubiquitous in all areas of functional analysis. Self-contained and accessible, the book introduces classical spaces before examining more complex spaces. Including many concrete examples, it first discusses classical spaces, such as Lebesgue and Lorentz, and defines growth and continuity envelopes. The author then examines these functions in subcritical, borderline, and critical cases. The book concludes with several applications that demonstrate the strength of this new theory.

Spis treści

Preface. Introduction. Preliminaries, Classical Function Spaces. The Growth Envelope Function E_G.  Growth Envelopes E_G.Continuity Envelopes E_C. Envelope Functions E_G and E_C Revisited. Applications.References. Symbols. Index. List of Figures.

O autorze

Haroske, Dorothee D.