Oscillatory Singular Integral Operators on HK_q~(α,p)(ω_1,ω_2) Spaces

证明了由Ｄ．Ｆａｎ和Ｙ．Ｐａｎ所考虑过的振荡奇异积分算子在Ｈｅｒｚ型Ｈａｒｄｙ空间上的有界性，这些结果推广了［１］中相应的定理     

一类非齐次核逆向的Hardy型积分不等式成立的等价条件

应用实分析技巧和权函数方法,讨论一类非齐次核逆向的Hardy型积分不等式成立的等价条件,它联系着参数的配置与核的积分,从而解决了逆向的Hardy型积分不等式存在的逆问题.     

Wessex in Hardy’s Novel

Thomas Hardy is a novelist and poet, generally regarded as one of the outstanding figures in English literature. Most of his novels take place in the "partly-real, partly-dream" county of Wessex (named after the Anglo-Saxon kingdom which existed in the area) and called Wessex Novel. It is regarded as the reflection of his hometown Dorset. His novel creation could be generally divided into three periods. The first period was romantic and pastoral; the masterpieces are Under the Green Tree and Far from the Madding Crowd. His second period mainly focuses on the social tragedy of Wessex, such as The Return of the Native and The Mayor of Casterbridge .In the last period of his creation, he began to write the pessimistic fate of the villagers in Wessex, this could be seen through Tess of the D'Urbervilles and Jude the Obscure. From the evolution of Wessex we can know the English society in the 19th century as well as Hardy's love for his hometown and his individual philosophy.     

强拟凸域上的多项式主子模

利用多项式的特征空间理论,研究了齐次强拟凸域上的齐次主Ｈａｒｄｙ子模的分类,得到了以下主要结果,在一个具有光滑边界的齐次强拟凸域上,两个齐次主Ｈａｒｄｙ子模相似当且仅当相应的齐次多项式只相差一个常数因子。     

Haray空间上的某些振荡奇异积分

建立了某些具有可变Calderon－Zygmund核的振荡奇异积分算子在Hardy空间H1（Rn）及其变形H1E（Rn）上的有界性．     

一类含临界指数与Hardy项椭圆方程非平凡解的存在性

研究了一类含Sobolev-Hardy临界指数与Hardy项的椭圆方程,通过证明局部(P.S.)条件和能量估计,运用山路引理得到了这类方程非平凡解的存在性.     

交换子在Hardy空间和Herz型Hardy空间上的有界性

设[b,T]表示由Lipschitz函数b∈Lipβ(Rn)与满足一定光滑条件的带θ型核的线性算子T生成的交换子,本文研究这类算子在Hardy空间和Herz型Hardy空间上的有界性问题.利用Hardy空间和Herz型Hardy空间的原子分解,证明了当nn+β相似文献   

Tess - A Pure but Tragic Woman

Thomas Hardy had a developing conception of tragedy in the process of his novel creation. When he wrote Tess of D'Urbervilles, he became fully aware that the human tragedy resulted far more from society than characters themselves. The article is to elaborate how society imposes on Tess the tragedy in a planned way.     

Qp上的共轭调和函数系

用于构造p-adic共轭调和函数系，说明了Poisson核及其Hilbert变换所适合的估计，并通过函数空间描述了它们的正则性，同时对Poisson核及其Hilbert变换在各个方向的导数进行了估计，利用Poisson核的卷积理论，得到了共轭调和函数系的边值特性。最终，通过共轭调和函数系解释了Hardu空间。