2010 Fiscal Year Final Research Report
Study of singular integrals of variable type
| Project/Area Number |
20540195
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Basic analysis
|
|---|
| Research Institution | Kwansei Gakuin University |
|---|
Principal Investigator |
YABUTA Kozo Kwansei Gakuin University, 数理科学研究センター, 客員研究員 (30004435)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
KITAHARA Kazuaki 関西学院大学, 理工学部, 教授 (40195277)
|
|---|
| Co-Investigator(Renkei-kenkyūsha) |
SATO Shuuichi 金沢大学, 人間社会研究域学校教育系, 准教授 (20162430)
|
|---|
| Project Period (FY) |
2008 – 2010
|
| Keywords | 実函数論 / 函数解析学 / 調和解析 / フーリエ解析 |
|---|
| Research Abstract |
For singular integrals with variable kernel associated to the surface of the form {x=Ψ(|y|)}, we showed the same result as in the convolution kernel case when the kernel is odd, and Lp boundedness near p=2 when the kernel is even. We could not achieve expected results for more general kernel cases. But, in the case of convolution type kernel, we published 7 results for singular integrals with rough kernel, vector space valued singular integrals and multilinear singular integrals. These contribute to the development of the study of singular integrals.
|
