Study on estimates of Schrodinger type operators and fractional integral operators
Project/Area Number |
25400152
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Basic analysis
|
Research Institution | Kobe City College of Technology |
Principal Investigator |
Sugano Satoko 神戸市立工業高等専門学校, 一般科, 准教授 (50316931)
|
Project Period (FY) |
2013-04-01 – 2016-03-31
|
Project Status |
Completed (Fiscal Year 2015)
|
Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
|
Keywords | シュレーディンガー作用素 / リバースヘルダークラス / ハーディ・リトルウッドの極大作用素 / カルデロン・ジグムント作用素 |
Outline of Final Research Achievements |
I studied some operators concerning with Schrodinger operators with real analysis method. I showed estimates of the fundamental solution for higher order Schrodinger type operators with potentials which belong to the reverse Holder class which includes nonnegative polynomials and showed pointwise estimates with the maximal operator. As an application I showed that these operators are bounded on several function spaces and under which condition we can obtain some results concerning with singularity.
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Report
(4 results)
Research Products
(9 results)