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arXiv 1902.08650math.FA
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紧阿贝尔群上有界平均振动函数与Hankel算子

Functions of bounded mean oscillation and Hankel operators on compact abelian groups

A. R. Mirotin, R. V. Dyba

摘要:

将有界平均振动函数和Hankel算子推广到具有线性序对偶的紧阿贝尔群的情形。在对偶群含有极小正元的假设下,用相应的Hankel算子的有界性描述了这类群上的有界平均振荡函数空间和解析型有界平均振荡函数空间.

英文摘要:

Generalization of functions of bounded mean oscillation and Hankel operators to the case of compact abelian groups with linearly ordered dual is considered. Spaces of functions of bounded mean oscillation and of bounded mean oscillation of analytic type on such groups are described in terms of boundedness of corresponding Hankel operators under the assumption that the dual group contains a minimal positive element.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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