Finite square function implies integer dimension
Published in Comptes Rendus Mathématique • Oct 21, 2009
Authors:,
Svitlana Mayboroda
Alexander Volberg
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 H s implies that s is integer.
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