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Mean Value Properties of Harmonic Functions on Sierpinski Gasket Type Fractals

✍ Scribed by Hua Qiu, Robert S. Strichartz


Book ID
120896774
Publisher
SP Birkhäuser Verlag Boston
Year
2013
Tongue
English
Weight
591 KB
Volume
19
Category
Article
ISSN
1069-5869

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We consider the analog of the Laplacian on the Sierpinski gasket and related fractals, constructed by Kigami. A function f is said to belong to the domain of 2 if f is continuous and 2f is defined as a continuous function. We show that if f is a nonconstant function in the domain of 2, then f 2 is n