Reseach on multilinear harmonic analysis and its applications
| Project/Area Number |
20540149
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Basic analysis
|
|---|
| Research Institution | Hokkaido University |
|---|
Principal Investigator |
TACHIZAWA Kazuya 北海道大学, 大学院・理学研究院, 准教授 (80227090)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
HAYASHI Mikihiro 北海道大学, 大学院・理学研究院, 教授 (40007828)
|
|---|
| Co-Investigator(Renkei-kenkyūsha) |
HORIUCHI Toshio 茨城大学, 理学部, 教授 (80157057)
|
|---|
| Project Period (FY) |
2008 – 2011
|
| Project Status |
Completed (Fiscal Year 2011)
|
| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
|
|---|
| Keywords | 調和解析 / 多重線形 / ウェーブレット / 実解析 / 多重線形作用素 / 関数空間 |
|---|
| 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.
|
Report
(6 results)
Research Products
(15 results)
