Tensor Representation of Spaces of Holomorphic Functions and Applications

Thai Thuan Quang; Duong Quoc Huy; Duong Thanh Vy

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Tensor Representation of Spaces of Holomorphic Functions and Applications

机译：全态函数空间的张量表示及其应用

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In this paper we study the tensor representation of spaces of Fr,chet-valued holomorphic functions in the form where U is an open subset of a Fr,chet space and Using this result we consider the following problems: exponential laws for the topologies on the space where U and V are two open subsets of locally convex spaces E and F respectively; the coincidence of the topologies on spaces of locally convex valued holomorphic functions (resp. germs) H(U, F) resp. H(K, F); the inheritance of the properties (QNo), via the spaces of holomorphic functions and of holomorphic germs.

机译：在本文中，我们研究了 Fr，chet 值全同态函数空间的张量表示，其中 U 是 Fr，chet 空间的开子集，并利用该结果考虑了以下问题：U 和 V 分别是局部凸空间 E 和 F 的两个开子集的空间拓扑的指数定律;局部凸值全同态函数空间拓扑结构的重合（例如细菌）H（U， F） [resp. H（K， F）];属性（QNo）的遗传，通过全态函数和全态细菌的空间。

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来源
《Complex analysis and operator theory》 |2017年第3期|611-626|共16页
作者
Thai Thuan Quang; Duong Quoc Huy; Duong Thanh Vy;
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作者单位

Quy Nhon Univ, Dept Math, Binh Dinh, Vietnam;

Tay Nguyen Univ, Dept Nat Sci & Technol, Dak Lak, Vietnam;

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原文格式 PDF
正文语种英语
中图分类数学;
关键词
Infinite-dimensional holomorphy; Topological tensor products; Frechet spaces and (DF)-spaces;

机译：无限维全形;拓扑张量积;Frechet 空间和（DF）空间;

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Tensor Representation of Spaces of Holomorphic Functions and Applications

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