THE RESEARCH OF WEAK TYPE OPERATORS ON FUNCTION SPACES

佐藤研究了局部紧阿贝尔群上傅里叶乘子的性质。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不等式对于单位厄米特banach *代数的严格正元的证明，通过Cordes不等式也证明了同样的对象。研究了函数空间和算子空间上的线性等距的若干结果。对于有理运动目标，Mon得到了全纯曲线的Nevanlinna缺陷到Pn(C)的消去定理。同时，他考虑将全纯（或亚纯）映射空间中的距离引入到Pn(C)中，得到了该空间中的距离。然后在这个空间中，无Nevanlinna缺陷的全纯（或亚纯）映射到Pn(C)。Itizuhara证明了交换子(b, T]，在奇异积分算子与广义生长函数g的Morrey空间Lpg（Rn）上的局部可积函数的更多乘法算子之间的有界性，部分推广了Di Fazio和Ragusa的经典结果。他还获得了一些新的结果。中田用复变分析的方法研究了以下课题。首先，讨论了不连续区域和作用于黎曼球上的不连续群的极限集。其次，Fatou集和Julia集是由Riemarin球的有理映射的复杂动力学产生的。Kawamura利用算子代数理论研究了拓扑动力系统中的一些混沌性质。他从概率论的角度考虑拓扑动力系统，尝试在休伯特空间上对其进行分析，得出了拓扑动力学研究与小波理论之间的一些联系。Sekigawa利用liobius变换的Clifford矩阵表示，研究了一些作用于三维欧几里德空间的抛物型Mobius变换生成的循环群的Ford基本区域。Harada研究有限环上编码理论的代数理论，以及有限环上编码与其他主题的关系。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