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Uniformly bounded composition operators on a Banach space of bounded Wiener-Young variation functions

Nelson Merentes|Dorota G lazowska|Jos\'e Atilio Guerrero|Janusz Matkowski
대한수학회 (The Korean Mathematical Society)|2013.03|대한수학회보 (Bulletin of the KMS)|제50권 제2호|pp. 675-685

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참고문헌

키워드

regularizationcomposition operatorJensen equationφ-variation in the sense of Wieneruniformly bounded operator
주제분류수학

초록

We prove, under some general assumptions, that a generator of any uniformly bounded Nemytskij operator, mapping a subset of space of functions of bounded variation in the sense of Wiener-Young into another space of this type, must be an affine function with respect to the second variable.

Abstract

We prove, under some general assumptions, that a generator of any uniformly bounded Nemytskij operator, mapping a subset of space of functions of bounded variation in the sense of Wiener-Young into another space of this type, must be an affine function with respect to the second variable.

참고문헌 (21)

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