The Definition of a Self-Similar function in Quasi-Banach Spaces


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The definition of a self-similar function is extended to quasi-Banach Lebesgue spaces. A sufficient condition for a function with given self-similarity parameters to lie in some such space is given.

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Yu. Tikhonov

Advanced Educational Scientific Center of Lomonosov Moscow State University

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Email: july.tikh@gmail.com
俄罗斯联邦, Moscow, 121357

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