2011 Fiscal Year Final Research Report
Reseach on multilinear harmonic analysis and its applications
| Project/Area Number |
20540149
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Hokkaido University |
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Principal Investigator |
TACHIZAWA Kazuya 北海道大学, 大学院・理学研究院, 准教授 (80227090)
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| Co-Investigator(Kenkyū-buntansha) |
HAYASHI Mikihiro 北海道大学, 大学院・理学研究院, 教授 (40007828)
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| Co-Investigator(Renkei-kenkyūsha) |
HORIUCHI Toshio 茨城大学, 理学部, 教授 (80157057)
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| Project Period (FY) |
2008 – 2011
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| Keywords | 調和解析 / 多重線形 / ウェーブレット |
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| Research Abstract |
As an example of multilinear operators we studied multilinear pseudo-differential operators. In particular we got a condition of the symbol of multilinear pseudo-differential operators defined on products of a Hilbert space, which belong to the Schatten-von Neumann class. Moreover we provided the wavelet characterization of the weighted Herz spaces. Moreover we proved the Sobolev-Lieb-Thirring inequality with respect to the Bessel potentials by means of the wavelet characterization of weighted Lp spaces.
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