Harmonic functions representation of Besov-Lipschitz functions on nested fractals
2010 (English)Report (Other academic)
R. S. Strichartz proposes a discrete definition of Besov spaces on self-similar fractals having a regular harmonic structure. In this paper, we characterize some of these Hölder-Zygmund and Besov-Lipschitz functions on nested fractals by means of the magnitude of the coefficients of the expansion of a function in a continuous piecewise harmonic base.
Place, publisher, year, edition, pages
2010. , 15 p.
Research report in mathematics, ISSN 1653-0810 ; 2, 2010
Research subject Mathematics
IdentifiersURN: urn:nbn:se:umu:diva-36284OAI: oai:DiVA.org:umu-36284DiVA: diva2:353425