Geodesic
The Definition of a Self-Similar Function in Quasi-Banach Spaces
Matematičeskie zametki, Tome 106 (2019) no. 6, pp. 917-923.

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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
Mots-clés : quasi-Banach Lebesgue space. 
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Yu. V. Tikhonov. The Definition of a Self-Similar Function in Quasi-Banach Spaces. Matematičeskie zametki, Tome 106 (2019) no. 6, pp. 917-923. http://geodesic.mathdoc.fr/item/MZM_2019_106_6_a11/

[1] I. A. Sheipak, “O konstruktsii i nekotorykh svoistvakh samopodobnykh funktsii v prostranstvakh $L_p[0,1]$”, Matem. zametki, 81:6 (2007), 924–938 | DOI | MR | Zbl

[2] P. Singer, P. Zajdler, “Self-affine fractal functions and wavelet series”, J. Math. Anal. Appl., 240:2 (1999), 518–551 | DOI | MR