The regularity of $L^p$-scaling functions
Ka‐Sing Lau, Mang-Fai Ma · Asian Journal of Mathematics · 1997
The existence of L p -scaling function and the L p -Lipschitz exponent have been studied in [Ji] and [LW] and a criterion is given in terms of a series of product of matrices.In this paper we make some further study of the criterion.In particular we show that for p an even integer or for all p > 1 in some special cases, the criterion can be simplified to a computationally efficient form.