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Morrey Spaces. 1st ed. 2015.
・ISBN 978-3-319-26679-4 paper EUR 39.99
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| 著者・編者 | Adams, David, |
|---|---|
| シリーズ | Applied and Numerical Harmonic Analysis |
| 出版社 | (Birkhauser Verlag AG, SZ) |
| 出版年月 | 2016 |
| ページ数 | 124 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-20482＞ |
解説
In this set of lecture notes, the author includes some of the latest research on the theory of Morrey Spaces associated with Harmonic Analysis. There are three main claims concerning these spaces that are covered: determining the integrability classes of the trace of Riesz potentials of an arbitrary Morrey function; determining the dimensions of singular sets of weak solutions of PDE (e.g. The Meyers-Elcart System); and determining whether there are any "full" interpolation results for linear operators between Morrey spaces.
This book will serve as a useful reference to graduate students and researchers interested in Potential Theory, Harmonic Analysis, PDE, and/or Morrey Space Theory.