The definition of a self-similar function in quasi-Banach spaces (Q2304514)

The author introduces affine fractal functions on the quasi-Banach spaces \(L^p\) with \(0<p<1\) and provides a sufficient condition in terms of the defining parameters of such a function to be an element of \(L^p\). Reviewer's remark: The construction of such fractal functions in an even more general setting has been carried out earlier in, i.e., [\textit{P. R. Massopust}, in: Fractals, wavelets, and their applications. Contributions from the international conference and workshop on fractals and wavelets, Kerala, India, November 9--12, 2013. Cham: Springer. 245--270 (2014; Zbl 1317.28016)], and also in [\textit{P. R. Massopust}, J. Math. Anal. Appl. 436, No. 1, 393--407 (2016; Zbl 1339.28010)].