Tempered Homogeneous Function Spaces.

Format:

Book

Author/Creator:

Triebel, Author.

Series:

EMS Series of Lectures in Mathematics (elm) 2523-5184 21

Language:

English

Physical Description:

1 online resource (143 pages)

Place of Publication:

EMS Press 2015

System Details:

text file PDF

Summary:

If one tries to transfer assertions for the inhomogeneous spaces A^s_{p,q} (\mathbb R^n), A \in \{B,F \}, appropriately to their homogeneous counterparts {\overset {\, \ast}{A}}{}^s_{p,q} (\mathbb R^n) within the framework of the dual pairing \big( S(\mathbb R^n), S'(\mathbb R^n) \big) then it is hard to make a mistake as long as the parameters p,q,s are restricted by 0 < p,q \le \infty and, in particular, n(\frac {1}{p} - 1) < s < \frac {n}{p}. It is the main aim of these notes to say what this means. This book is addressed to graduate students and mathematicians having a working knowledge of basic elements of the theory of function spaces, especially of type B^s_{p,q} and F^s_{p,q}.

ISBN:

3-03719-655-6