ZHAO Kai, WANG Mei, WANG Chun-jie. A Weighted Norm Inequality for Thela(t)-Type Oscillatory Singular Integrals[J]. Applied Mathematics and Mechanics, 2002, 23(9): 987-990.
 Citation: ZHAO Kai, WANG Mei, WANG Chun-jie. A Weighted Norm Inequality for Thela(t)-Type Oscillatory Singular Integrals[J]. Applied Mathematics and Mechanics, 2002, 23(9): 987-990.

# A Weighted Norm Inequality for Thela(t)-Type Oscillatory Singular Integrals

• Received Date: 1999-05-20
• Rev Recd Date: 2002-05-16
• Publish Date: 2002-09-15
• The theta(t)-type oscillatory singular integral operators has been discussed. With the non-negative Locally integrable weighted funciton, the weighted norm inequalityof theta(t)-type oscillatory singular integral operators is proved, and the weighted function has replaced by action of Hardy-Littlewood maximal operators several times.
•  [1] Ricci F,Stein E M.Harmonic analysis on nilpotent groups and singular integral Ⅰ:Oscillatory Integrals[J].J Funct Anal,1987,73(1):179-194. [2] 陆善镇,张严.一类振荡积分算子的加权模不等式[J].科学通报,1991,36(13):961-964. [3] HU Guo-en.A weighted norm inequality for oscillatory singular integrals[J].Adv in Math(China),1997,26(2):133-138. [4] 赵凯.一类奇异积分算子的加权模不等式[J].青岛大学学报,1993,6(1):52-55. [5] 赵凯.广义Calderón-Zygmund算子的一个权模不等式[J].青岛大学学报,1998,11(2):5-10. [6] Pérez C.Weighted norm inequalities for singular integral operators[J].J London Math Soc,1994,49(1):296-308. [7] Garcia-Cuerva J,Rubio de Francia J L.Weightednorm Inequalities and Related Topics[M].North-Holland Amsterdan,North-Holland Math Studies,,1985. [8] Fefferman C,Stein E M.Some maximal inequalities[J].Amer J Math,1971,93(1):107-115. [9] ZHAO Kai.On generalized calderón-Zygmund operators[J].J Math Research & Exposition,1995,15(2):211-215.

### Catalog

###### 通讯作者: 陈斌, bchen63@163.com
• 1.

沈阳化工大学材料科学与工程学院 沈阳 110142

## Article Metrics

Article views (2099) PDF downloads(698) Cited by()
###### Related

/

DownLoad:  Full-Size Img  PowerPoint