MULTIPLICATION OPERATORS ON THE SPACES OF FUNCTIONS OF BOUNDED p-VARIATION IN WIENER'S SENSE

Franklin R. Astudillo-Villaba; Rene E. Castillo; Julio C. Ramos-Fernandez

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MULTIPLICATION OPERATORS ON THE SPACES OF FUNCTIONS OF BOUNDED p-VARIATION IN WIENER'S SENSE

机译：维纳感官中有界p变量函数空间上的乘积算子

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In this article, we make a comprehensive study about the properties of multiplication operators acting on the spaces of functions of bounded p-variation in Wiener's sense W BV_p[0, 1]. We characterize all functions u ∈ WBV_p[0,1 that define invertible, compact and Fredholm multiplication operators M_u on W BV_p[0,1]. Also we characterize when M_u has finite range and has closed range on W BV_p[0,1].

机译：在本文中，我们对在维纳意义上W BV_p [0，1]上作用于有界p变函数空间的乘法算子的性质进行了全面研究。我们表征所有函数u∈WBV_p [0,1]，这些函数定义W BV_p [0,1]上的可逆，紧凑和Fredholm乘法算子M_u。我们还表征了何时M_u在W BV_p [0,1]上具有有限范围并且具有闭合范围。

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来源
《Real analysis exchange》 |2017年第2期|329-344|共16页
作者
Franklin R. Astudillo-Villaba; Rene E. Castillo; Julio C. Ramos-Fernandez;
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作者单位

Departamento de Matematicas, Universidad de Oriente, Cumana 6101, Estado Sucre, Republica Bolivariana de Venezuela;

Departamento de Matematicas, Universidad Nacional de Colombia, AP360354 Bogota, Colombia;

Departamento de Matematicas, Universidad de Oriente, Cumana 6101, Estado Sucre, Republica Bolivariana de Venezuela;

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正文语种 eng
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关键词
Multiplication Operators; spaces of functions of bounded p-variation in Wiener's sense;

机译：乘法运算符;维纳意义上有界p变函数的空间;

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5. Multiplication and integral operators on spaces of analytic functions [D] . Anderson, Austin Maynard 2010

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MULTIPLICATION OPERATORS ON THE SPACES OF FUNCTIONS OF BOUNDED p-VARIATION IN WIENER'S SENSE

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