THE RESEARCH OF WEAK TYPE OPERATORS ON FUNCTION SPACES

佐藤研究了局部紧交换群上的傅里叶乘子的性质。特别是，他得到了一些关于Lp改进乘数和洛伦兹改进乘数的结果，并发表了这些结果。Okayasu研究了Lowner-Heinz不等式对于有单位元的埃尔米特Banacb*-代数的严格正元素的证明，通过Cordes不等式，该不等式对于相同的对象也被证明。研究了函数空间和算子空间上线性等距的几个结果。Mon给出了全纯曲线的Nevanlinna亏在Pn（C）中的有理运动目标消除定理。他还考虑在Pn（C）中引入全纯（或亚纯）映射空间中的距离，并得到了该空间中的距离。则到Pn（C）的无Nevanlinna亏的全纯（或微纯）映射在此空间中是稠密的。Itizuhara证明了奇异积分算子与非奇异积分算子之间的算子（B，T]的有界性。 ...更多信息 在Morrey空间Lpg（Rn）上，利用具有一般增长函数g的局部可积函数，构造了一个乘积算子，这个结果部分地推广了Di Fazio和拉古萨的经典结果.他还获得了一些新的成果。中田用复分析的方法研究了以下问题。第一，不连续群作用在黎曼球面上的不连续区域和极限集。其次，Fatou集和Julia集来自Riemarin球面上有理映射的复杂动力学。Kawamura利用算子代数理论研究了拓扑动力系统的混沌性质。考虑到拓扑动力系统的意义上的概率论，他试图分析他们的休伯特空间，并获得了一些关系，我们的研究拓扑动力学和小波理论。Sekigawa利用Liobius变换的Clifford福特矩阵表示，研究了作用在三维欧氏空间上的抛物型Mobius变换所生成的循环群的福特基本域.原田研究代数理论的编码理论的有限环，和代码的有限环的关系，以其他议题。少

Sato studied the properties of Fourier multipliers on locally Compact abelian groups. In particular, he got some results with respect to Lp-improving multipliers and Lorentz-improving multipliers, and published the results. Okayasu studied that the Lowner-Heinz inequality was shown for strictly positive elements of unital hermitian Banacb*-algebras, via the Cordes inequality which was also shown for same objects. Also be studied that several results were gotten on linear isometries on function spaces, and on operator spaces. Mon got an elimination theorem of Nevanlinna defects of holomorphic curves into Pn(C) for rational moving targets. Also, he considered to introduce a distance in the space of holomorpbic(or meromorphic) mappings into Pn(C), and obtained a distance in this space. Then holomorphic (or mieromorphic) mappings into Pn(C) without Nevanlinna defects are densein this space. Itizuhara showed the boundedness of commutators (b, T], between some singular integral operator and … More multiplication operator by a locally integrable function bon Morrey spaces Lpg(Rn) with general growth function g, This results generalize partly the classical results due to Di Fazio and Ragusa. Also he obtained some new results. Nakada studied the following subject by the method of complex analysis. Firstly, the region of discontinuities and the limit sets of discontinuous groups acting on the Riemann sphere. Secondary, the Fatou sets and Julia sets arise from complex dynamics of rational maps of the Riemarin sphere. Kawamura studied some chaotic properties in topological dynamical systems by using the theory of operator algebras. Considering topological dynamical systems in the sense of probability theory, he tried to analyze them on the Hubert space and obtained some relations between our study of topological dynamics and wavelet theory. Sekigawa investigated the Ford fundamental regions for the cyclic groups generated by some parabolic Mobius transformations acting on the 3-dimensional Euclidean space, by using the Clifford matrix representation of liobius transformations. Harada studied algebraic theory of coding theory over finite rings, and codes over finite rings with relationships to other topics. Less