Abstract
The aim of this note is to point out that the results proved in Bernicot and Shrivastava (Indiana Univ Math J 60(1):233–268, 2011) and Ratnakumar and Shrivastava (Proc Am Math Soc 140(12):4285–4293, 2012), for bilinear square functions associated with symbols of the form \(\varphi (x-n)\), extend to a far more general family of bilinear multiplier symbols \(\phi _n\), supported in disjoint cubes \(Q_n\).
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