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math.CA2009★ 8 cited
Square function and Riesz transform in non-integer dimensions
Svitlana Mayboroda, Alexander Volberg
Following a recent paper by X. Tolsa and A. Ruiz de Villa [Non existence of principal values of signed Riesz transforms of non integer dimension, preprint], we show that the finite…
math.CA2009★ 17 cited
Boundedness of the square function and rectifiability
Svitlana Mayboroda, Alexander Volberg
Following a recent paper by X. Tolsa [JFA, 2008] we show that the finiteness of square function associated with the Riesz transforms with respect to Hausdorff measure ( is…