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Tempered Homogeneous Function Spaces
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Triebel, Hans,
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Tempered Homogeneous Function Spaces
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Tempered Homogeneous Function Spaces/ Hans Triebel
作者:
Triebel, Hans,
出版者:
Zuerich, Switzerland :European Mathematical Society Publishing House, : 2015,
面頁冊數:
1 online resource (143 pages)
標題:
Functional analysis -
電子資源:
https://doi.org/10.4171/155
電子資源:
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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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 $F^s_{p,q}$.
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