45 citations · 146 across the 29 of their papers we have counts for
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math.CA2010
Estimates for the resolvent kernel of the Laplacian on p.c.f. self similar fractals and blowups
Luke G. Rogers
We provide a method for obtaining upper estimates of the resolvent kernel of the Laplacian on a post-critically finite self-similar fractal that relies on a self-similar series dec…
math.FA2010
Complex Powers of the Laplacian on Affine Nested Fractals as Calderón-Zygmund operators
Marius Ionescu, Luke Rogers
We give the first natural examples of Calderón-Zygmund operators in the theory of analysis on post-critically finite self-similar fractals. This is achieved by showing that the pur…