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Matematicheskie Zametki, 2019, Volume 106, Issue 6, Pages 917–923
DOI: https://doi.org/10.4213/mzm12509 (Mi mzm12509) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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

Yu. V. Tikhonov

Advanced Educational Scientific Center of Lomonosov Moscow State University — A. N. Kolmogorov School
Full-text PDF (486 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm12509
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 function, quasi-Banach Lebesgue space.
Funding agency Grant number
Russian Science Foundation 17-11-01215
This work was supported by the Russian Science Foundation under grant 17-11-01215.
Received: 10.07.2019
English version:
Mathematical Notes, 2019, Volume 106, Issue 6, Pages 981–986
DOI: https://doi.org/10.1134/S0001434619110348
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: Yu. V. Tikhonov, “The Definition of a Self-Similar Function in Quasi-Banach Spaces”, Mat. Zametki, 106:6 (2019), 917–923; Math. Notes, 106:6 (2019), 981–986
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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