A note on the weighted norm inequality for the one-sided maximal operator

Let be the one-sided maximal function. In this note we obtain some necessary and sufficient conditions in order that the weighted weak type inequality holds for . Meanwhile, some necessary or sufficient conditions for the weighted inequality for are given.

     

三维空间中非线性波方程的整体与局部C~2(英文)

讨论下面方程的Ｃａｕｃｈｙ问题：ｕｔｔ－Δｕ＝｜ｕｔ（ｘ,ｔ）｜ｐ,ｔ≥０,ｘ∈Ｒ３,ｕ（ｘ,０）＝εｆ（ｘ）,ｕｔ（ｘ,０）＝εｇ（ｘ）,ｘ∈Ｒ３,这里Δ＝∑３ｉ＝１２ｘ２ｉ,常数ｐ＞１,ε是正参数,Ｈ．Ｔａｋａｍｕｒａ（ＣｏｍｍｉｎＰＤＥ,１９９２,１７（１＆２）：１８９）猜侧上面的Ｃａｕｃｈｙ问题在ｐ＞２时是否对充分小的初值存在整体Ｃ２解．本文将在ｆ（ｘ）,ｇ（ｘ）满足一定条件下在ｐ＞３时部分回答这个问题     

三乙基苄基氯化铵合成反应动力学研究

用电导法分别测定了三乙基苄基氯化铵合成反应在乙醇、正戊醇、１,２－二氯乙烷三种溶剂中的反应进程,此反应在三种介质均为二级反应;求出了不同温度下的反应速度常数、反应活化能、指前因子以及活化熵变;１,２－二氯乙烷是非质子性溶剂,对三乙基苄基氯化铵合成这类双分子亲核反应有利。乙醇溶剂的反应速度随温度升高而明显加快。     

Relationship between giant magnetoresistance of NiFe/Cu multilayers and their microstructures

The (111)-orientated NiFe/Cu multilayers were prepared by magnetron sputtering method. At room temperature, saturation magnetoresistances of NiFe/CU multilayers oscillate as a function of Cu spacer layer thickness. Two peak GMR values of 19.4%, 11.6% and 11.2%, 1% appear, respectively, at Cu sublayer thickness of t_Cu,= 1.0, 2.2 nm while the deposition pressures are 0.25 and 0.45 Pa. X-ray small-angle reflections and diffuse scattering at Cu K-edge (8.979 keV) by synchrotron radiation source were used to characterize the interfacial roughness. Diffraction anomalous fine-structure scattering (DAFS) was performed to investigate the local structure of NiFe and Cu sublayers. Results show that the deposition pressure has effect on interfacial roughness of the samples obviously, and the interfacial roughness also affects the GMR values of the samples strongly.     

园艺业在新疆绿洲建设中的作用与可操作性问题的探讨（综述）

概述了新疆绿洲和新疆园艺业的情况,从经济效益、社会效益、生态效益三个方面较全面地论述了园艺业在新疆绿洲建设中的地位和作用,旨在强调其在绿洲中的重要性,同时探讨性地提出了园艺业在新疆绿洲中健康发展的可操作性体系。     

核医学图像的平滑及自适应增强算法

针对核医学图像的特点,提出核医学图像的邻域加权平滑和自适应增强算法,用于去除图像噪声和增强图像,以改善图像的视觉效果,提高对核医学图像判读的正确性     

免疫沉淀法分离纯化感染细胞中的甲肝病毒RNA

本研究采用抗血清（多抗血清）沉淀甲肝病毒,并用盐酸胍酸性酚,氯仿一步法分离纯化病毒ＲＮＡ．此方法能排除非病毒ＲＮＡ的污染,操作简单,要求条件较低,ＲＮＡ的纯度和完整性都较好     

关于代数体函数Borel方向的判定方法

本文利用角域内代数体函数的一个基本不等式,导出了代数体函数Ｂｏｒｅｌ方向的一个充分条件和一个充要条件