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Tempered Homogeneous Function Spaces

Triebel, Hans,

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Tempered Homogeneous Function Spaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	Tempered Homogeneous Function Spaces/ Hans Triebel
Author:	Triebel, Hans,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2015,
Description:	1 online resource (143 pages)
Subject:	Functional analysis -
Online resource:	https://doi.org/10.4171/155
Online resource:	https://www.ems-ph.org/img/books/triebel_tempered_mini.jpg
ISBN:	9783037196557

Tempered Homogeneous Function Spaces
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) ;2523-5176.

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

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: 9783037196557

Standard No.: 10.4171/155doiSubjects--Topical Terms:

731345
Functional analysis

Tempered Homogeneous Function Spaces
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