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

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. Click to show full abstract

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.

Keywords: self similar; quasi banach; similar function; definition self; function

Journal Title: Mathematical Notes
Year Published: 2019

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