Journal
POTENTIAL ANALYSIS
Volume 16, Issue 3, Pages 265-277Publisher
KLUWER ACADEMIC PUBL
DOI: 10.1023/A:1014085203265
Keywords
measure geometric Laplacian; Green's function; self-similar measure
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Differentiation of functions w.r.t. finite atomless measures with compact support on the real line is introduced. The related harmonic calculus is similar to that of the classical Lebesgue case. As an application we obtain the Weyl exponent for the spectral asymptotics of the Laplacians w.r.t. linear Cantor-type measures with arbitrary weights.
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