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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2019 Volume 106, Issue 6, Pages 917–923 (Mi mzm12509)
This article is cited 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

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.

UDC: 517.518

Received: 10.07.2019

DOI: 10.4213/mzm12509


 English version: Mathematical Notes, 2019, 106:6, 981–986

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© Steklov Math. Inst. of RAS, 2024