Triebel, Hans,
Tempered Homogeneous Function Spaces [electronic resource] / Hans Triebel - Zuerich, Switzerland : European Mathematical Society Publishing House, 2015 - 1 online resource (143 pages) - EMS Series of Lectures in Mathematics (ELM) .
Restricted to subscribers: http://www.ems-ph.org/ebooks.php
If one tries to transfer assertions for the inhomogeneous spaces $A^s_ (\mathbb R^n)$, $A \in \$, appropriately to their homogeneous counterparts $}^s_ (\mathbb R^n)$ 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) < s < \frac $. 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 $B^s_$ and $F^s_$.
9783037196557
10.4171/155 doi
Functional analysis
Functional analysis
Fourier analysis
Tempered Homogeneous Function Spaces [electronic resource] / Hans Triebel - Zuerich, Switzerland : European Mathematical Society Publishing House, 2015 - 1 online resource (143 pages) - EMS Series of Lectures in Mathematics (ELM) .
Restricted to subscribers: http://www.ems-ph.org/ebooks.php
If one tries to transfer assertions for the inhomogeneous spaces $A^s_ (\mathbb R^n)$, $A \in \$, appropriately to their homogeneous counterparts $}^s_ (\mathbb R^n)$ 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) < s < \frac $. 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 $B^s_$ and $F^s_$.
9783037196557
10.4171/155 doi
Functional analysis
Functional analysis
Fourier analysis