The Definition of a Self-Similar function in Quasi-Banach Spaces
- Authors: Tikhonov Y.V.1
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Affiliations:
- Advanced Educational Scientific Center of Lomonosov Moscow State University
- Issue: Vol 106, No 5-6 (2019)
- Pages: 980-985
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/151976
- DOI: https://doi.org/10.1134/S0001434619110348
- ID: 151976
Cite item
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.
About the authors
Yu. V. Tikhonov
Advanced Educational Scientific Center of Lomonosov Moscow State University
Author for correspondence.
Email: july.tikh@gmail.com
Russian Federation, Moscow, 121357
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