Tempered homogeneous function spaces [electronic resource] / Hans Triebel

Format:

Book

Author/Creator:

Triebel, Hans, author.

Series:

EMS Series of Lectures in Mathematics (ELM) ; 2523-5176

Language:

English

Physical Description:

1 online resource (143 pages)

Place of Publication:

Zuerich, Switzerland : European Mathematical Society Publishing House, 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