**EMS Series of Lectures in Mathematics**

Volume: 21;
2015;
143 pp;
Softcover

MSC: Primary 46; 42;
**Print ISBN: 978-3-03719-155-2
Product Code: EMSSERLEC/21**

List Price: $38.00

Individual Member Price: $30.40

# Tempered Homogeneous Function Spaces

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*Hans Triebel*

A publication of the European Mathematical Society

This book deals with homogeneous function spaces of Besov–Sobolev type within the framework of tempered distributions in Euclidean \(n\)-space based on Gauss–Weierstrass semi-groups. Related Fourier-analytical descriptions and characterizations in terms of derivatives and differences are incorporated after as so-called domestic norms. This approach avoids the usual ambiguities modulo polynomials when homogeneous function spaces are considered in the context of homogeneous tempered distributions.

These notes are addressed to graduate students and mathematicians having a working knowledge of basic elements of the theory of function spaces, especially of Besov–Sobolev type. In particular, the book might be of interest for researchers dealing with (nonlinear) heat and Navier–Stokes equations in homogeneous function spaces.

A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

#### Readership

Graduate students and research mathematicians interested in tempered distributions and homogeneous function spaces.