TY  - BOOK
AU  - Triebel,Hans
AU  - Triebel,Hans
TI  - Tempered Homogeneous Function Spaces
T2  - EMS Series of Lectures in Mathematics (ELM)
SN  - 9783037196557
PY  - 2015///
CY  - Zuerich, Switzerland
PB  - European Mathematical Society Publishing House
KW  - Functional analysis
KW  - bicssc
KW  - msc
KW  - Fourier analysis
N1  - Restricted to subscribers
N2  - 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 $F^s_{p,q}$
UR  - https://doi.org/10.4171/155
UR  - http://www.ems-ph.org/img/books/triebel_tempered_mini.jpg
ER  -