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Tempered Homogeneous Function Spaces
EMS Series of Lectures in Mathematics

Hans Triebel (University of Jena, Germany)

Tempered Homogeneous Function Spaces

ISBN print 978-3-03719-155-2, ISBN online 978-3-03719-655-7
DOI 10.4171/155
September 2015, 143 pages, softcover, 17 x 24 cm.
32.00 Euro

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 $F^s_{p,q}$.

Further Information

Review in Zentralblatt MATH