Research on ideal boundaries of open Riemann surfaces

马丁理想的边界。Imai showed that if the Picard dimension of a stationary Schrodinger operator with a signed Radon measure of quasi Kato class as its Potential is positive then it is essentially selfadjoint on the L-D12-D1 space of the Lebesgue measure and the total variation of the measure。Tada和Nakai从静态施罗德方程的边界值中提取了来自Dirichlet解决方案的边界行为。Tada和Nakai确定了无旋转密度的最大增长，这对皮卡德原则来说是一种特殊的表现。Segawa确定了Martin边界的M-sheeted环、无限制覆盖表面，作为其基础表面。罗伊登理想的边界。Nakai提出，任何连续域中的四元谐波功能都可以被表达为Dirichlet问题的解决方案。Nakai展示了Ryden P-Compatiations的相同尺寸d的Riemannian Manifolds [少于或等于] 2a ... More 如果是同源性的，只有如果在这些Riemannian Manifolds之间存在着一种几乎准确的同源性的同源性。和谐函数的边界行为。Sego给出了一个P形、无限的Riemann表面空间中的位置谐波函数的必要和充分的条件，并且它的基本表面是相同的。Tada和Nakai提出了扩展的Liouville定理，用于一类函数，其中实际包含多谐波函数。价值分布理论的形态学函数。Ueda studies on rarity of 0 - 1 - pole set of nonconstant meromorphic functions on the complex plane。按边界分析函数和函数代数理论进行点分离。Nakai指出，“独一无二的理论是足够的，但不是必要的，因为Myrberg现象的出现。”Narita展示了一些必要的和适当的条件，通过分析函数的算法来实现每周分离的分析函数Narita展示了一些适当的条件，用于在边界域中实现和谐的干扰序列。Less（低）

Martin ideal boundaries. Imai showed that if the Picard dimension of a stationary Schrodinger operator with a signed Radon measure of quasi Kato class as its Potential is positive then it is essentially selfadjoint on the LィイD12ィエD1 space of the Lebesgue measure and the total variation of the measure. Tada and Nakai obtained behavior of boundary values from boundary behavior of Dirichlet solutions of stationary Schrodinger equations. Tada and Nakai determined the maximal growth of a rotation free density which is an exceptional perturbation for Picard principle. Segawa determined the Martin boundaries of m-sheeted cyclic unlimited covering surfaces with the punctured Riemann sphere as its base surfaces. Royden ideal boundaries. Nakai proved that any quasibounded harmonic function on any continuous domain can be expressed as solution of Dirichlet problem. Nakai showed that Royden p-compactifications for 1 < p < d of the Riemannian manifolds of the same dimension d【less than or equal】2 a … More re homeomorphic if and only if there exists a almost quasiisometric homeomorphism between these Riemannian manifolds. Boundary behavior of harmonic functions. Sego gave a necessary and sufficient condition for the spaces of positive harmonic functions on a p-sheeted unlimited Riemann surface and its base surface being same. Tada and Nakai proved the extended Liouville theorem for a class of functions which properly contains polyharmonic functions. Value distribution theory of meromorphic functions. Ueda studies on rarity of 0 - 1 - pole set of nonconstant meromorphic functions on the complex plane. Point separation by bounded analytic functions and theory of function algebra. Nakai showed that the uniqueness theorem is sufficient but not necessary for the occurrence of the Myrberg phenomenon. Narita showed some necessary and sufficient condition for week separation by an algebra of analytic functions Narita showed some sufficient condition for an interpolating sequence in a bounded domain being a harmonic interpolating sequence. Less