Singular integrals on Sierpinski gaskets
Chousionis, Vasilis
Original · EN
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.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.