| Budget Amount *help |
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
|
|---|
| Research Abstract |
Weak type(1, 1) estimates were proved for 2-dimensional parabolic singular integrals defined by rough kernels which are homogeneous with respect to certain nonisotropic dilations, under the minimal size condition of the kernels. Some weighted mixed norm inequalities were proved for Hardy-Littlewood maximal operators, Hilbert transforms and maximal Hilbert transforms along homogeneous curves defined by certain nonisotropic dilations in the n-dimensional Euclidean space.
|
