Dirichlet forms on fractal subsets of the real line.

Uta Freiberg

doi:rae/1129416467

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Home > Journals > Real Anal. Exchange > Volume 30 > Issue 2 > Article

2004-2005 Dirichlet forms on fractal subsets of the real line.

Uta Freiberg

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Uta Freiberg¹
¹Mathematisches Institut, Friedrich Schiller

Real Anal. Exchange 30(2): 589-604 (2004-2005).

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Abstract

Measure theoretic Dirichlet forms on compact subsets of the real line are introduced. Using the technique of Dirichlet--Neumann--bracketing, estimates of the eigenvalue counting functions of the associated measure geometric Laplacians are obtained.