Revistes Catalanes amb Accés Obert (RACO)

Singular integrals on Sierpinski gaskets

V. Chousionis


We construct a class of singular integral operators associated with homogeneous Calderón-Zygmund standard kernels on d-dimensional, d < 1, Sierpinski gaskets Ed. These operators are bounded in L2(μd) and their principal values diverge μd almost everywhere, where μd is the natural (d-dimensional) measure on Ed.

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