Topological Measures and Weighted Radon Measures
Seiten
2008
Alpha Science International Ltd (Verlag)
978-1-84265-283-1 (ISBN)
Alpha Science International Ltd (Verlag)
978-1-84265-283-1 (ISBN)
Due to the close interplay of measure and topology, topological measure theory is a particularly intriguing part of general measure theory. This book introduces chapters on abstract measure theory.
Due to the close interplay of measure and topology, topological measure theory is a particularly intriguing part of general measure theory. Appropriately this text starts with an introductory chapter on abstract measure theory. It presupposes some familiarity with elementary measure and integration theory and furnishes the prerequisites for the subsequent detailed exposition of the theory. The results mainly concern regularity properties of topological measures. The notions of mc measures and Lc spaces turn out to be particularly useful for the study of regularity properties of weighted Radon measures, a topic that was not treated previously in the literature. Because of their specific importance a whole chapter of purely topological content is devoted to Lc spaces. Throughout the textbook, the results are accompanied and consistently discussed by examples, ranging from routine to rather involved.
Due to the close interplay of measure and topology, topological measure theory is a particularly intriguing part of general measure theory. Appropriately this text starts with an introductory chapter on abstract measure theory. It presupposes some familiarity with elementary measure and integration theory and furnishes the prerequisites for the subsequent detailed exposition of the theory. The results mainly concern regularity properties of topological measures. The notions of mc measures and Lc spaces turn out to be particularly useful for the study of regularity properties of weighted Radon measures, a topic that was not treated previously in the literature. Because of their specific importance a whole chapter of purely topological content is devoted to Lc spaces. Throughout the textbook, the results are accompanied and consistently discussed by examples, ranging from routine to rather involved.
D. P. L. Castrigiano.: Technische Universitaet Muenchen Zentrum Mathematik, Boltzmann Str. 3, D-85747 Garching, Germany W. RolckeA .: Ludwig-Maximilians Universitaet Muenchen Mathematisches Institut, Theresien Str. 39, D-80333 Muenchen, Germany
Preface / Abstract Measures and Densities / Measures on Topological Spaces / Regularity Properties of Weighted Radon Measures / Lc Spaces / Counter Examples / Bibliography / Notation Index / Subject Index.
| Erscheint lt. Verlag | 6.5.2008 |
|---|---|
| Verlagsort | Oxford |
| Sprache | englisch |
| Maße | 185 x 240 mm |
| Gewicht | 750 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 1-84265-283-4 / 1842652834 |
| ISBN-13 | 978-1-84265-283-1 / 9781842652831 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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