Finite square function implies integer dimension

Svitlana Mayboroda, Alexander Volberg

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

Following a recent paper (Tolsa and Ruiz de Villa, 2008) we show that the finiteness of square function associated with the Riesz transforms with respect to Hausdorff measure Hs implies that s is integer. To cite this article: S. Mayboroda, A. Volberg, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

Original languageEnglish (US)
Pages (from-to)1271-1276
Number of pages6
JournalComptes Rendus Mathematique
Volume347
Issue number21-22
DOIs
StatePublished - Nov 1 2009

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