In the present paper we characterize the Besov spaces on nested fractals in terms of the coefficients of functions with respect to the piecewise harmonic basis.
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Maryia Kabanava, Characterization of Besov Spaces on Nested Fractals by Piecewise Harmonic Functions. Z. Anal. Anwend. 31 (2012), no. 2, pp. 183–201DOI 10.4171/ZAA/1454