Singular integrals on Sierpinski gaskets
Chousionis, Vasilis (University of Helsinki. Department of Mathematics and Statistics)

Date:	2009
Abstract:	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.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Singular integrals ; Self similar sets
Published in:	Publicacions matemàtiques, V. 53 n. 1 (2009) p. 245-256, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/140678
DOI: 10.5565/PUBLMAT_53109_11

12 p, 154.8 KB

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