A Weighted Estimate for the Square Function on the Unit Ball in C Stefanie Petermichl and Brett
نویسنده
چکیده
We show that the Lusin area integral or the square function on the unit ball of C, regarded as an operator in weighted space L(w) has a linear bound in terms of the invariant A2 characteristic of the weight. We show a dimension-free estimate for the “area-integral” associated to the weighted L(w) norm of the square function. We prove the equivalence of the classical and the invariant A2 classes.
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تاریخ انتشار 2007