TY - JOUR
T1 - Finite square function implies integer dimension
AU - Mayboroda, Svitlana
AU - Volberg, Alexander
PY - 2009/11
Y1 - 2009/11
N2 - 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).
AB - 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).
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U2 - 10.1016/j.crma.2009.09.020
DO - 10.1016/j.crma.2009.09.020
M3 - Article
AN - SCOPUS:71749121808
SN - 1631-073X
VL - 347
SP - 1271
EP - 1276
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 21-22
ER -