Michael T. Lacey

most citedAverages Along the Primes: Improving and Sparse Bounds

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math.CA2019★ 1 cited

Averages Along the Primes: Improving and Sparse Bounds

Rui Han, Ben Krause, Michael Lacey +1

Consider averages along the prime integers $P$ given by \begin{equation*} \mathcal{A}_N f (x) = N ^{-1} \sum_{ p \in \mathbb P \;:\; p\leq N} (\log p) f (x-p). \end{equat…

math.CA2005★ 1 cited

Paraproducts in One and Several Parameters

Michael T Lacey, Jason Metcalfe

For multiparameter bilinear paraproduct operators $B$ we prove the estimate $B : L^{p} X L^{q} - - > L^{r}, 1 < p, q \leq \infty.$ Here, $1/ p + 1/ q = 1/ r$ and special attention is paid to the c…