双复希尔伯特空间上的双复线性算子与Littlewood从属定理
Bicomplex Linear Operators on Bicomplex Hilbert Spaces and Littlewood's Subordination Theorem
摘要:
本文研究了双复希尔伯特空间上双复线性算子的一些基本性质。进一步讨论了Hahn-Banach定理在双复Banach模上的应用。本文还引入并讨论了双复全纯函数空间,证明了双复Hardy空间的Littlewood从属原理。
英文摘要:
In this paper we study some basic properties of bicomplex linear operators on bicomplex Hilbert spaces. Further we discuss some applications of Hahn-Banach theorem on bicomplex Banach modules. We also introduce and discuss some bicomplex holomorphic function spaces and prove Littlewood's Subordination principle for bicomplex Hardy space.
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