• Title/Summary/Keyword: ${\varphi}$-variation in the sense of Wiener

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UNIFORMLY BOUNDED COMPOSITION OPERATORS ON A BANACH SPACE OF BOUNDED WIENER-YOUNG VARIATION FUNCTIONS

  • Glazowska, Dorota;Guerrero, Jose Atilio;Matkowski, Janusz;Merentes, Nelson
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.2
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    • pp.675-685
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    • 2013

  • 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.

  • https://doi.org/10.4134/BKMS.2013.50.2.675 인용 PDF KSCI