科研之友
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摘要
Let T-P f(x) = integral e(i P( y)) K (y) f(x-y) dy, where K(y) is a smooth Calderon-Zygmund kernel on R-n, and P be a polynomial. We show that there is a sparse bound for the bilinear form < T-P f, g >. This in turn easily implies A(p) inequalities. The method of proof is applied in a random discrete setting, yielding the fi rst weighted inequalities for operators de fi ned on sparse sets of integers.
- 出版日期2017
