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.

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Bibliographic Details
Published in:Mathematical Notes 2019-11, Vol.106 (5-6), p.980-985
Main Author: Tikhonov, Yu. V.
Format: Article
Language:English
Subjects:
Banach spaces
Mathematics
Mathematics and Statistics
Self-similarity
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Description
Summary: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.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S0001434619110348