Listar Matemática por autor "Lacey, Michael T."
Mostrando ítems 1-5 de 5
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Lacunary discrete spherical maximal functions
Kesler, Robert; Lacey, Michael T.; Mena Arias, Darío Alberto (2019)We prove new l^p(Z^d) bounds for discrete spherical averages in dimensions d greater than or equal to 5. We focus on the case of lacunary radii, first for general lacunary radii, and then for certain kinds of highly ... -
Sparse bounds for Bochner–Riesz multiplers
Lacey, Michael T.; Mena Arias, Darío Alberto; Reguera, Maria Carmen (2019)The Bochner–Riesz multipliers are shown to satisfy a range of sparse bounds. The range of sparse bounds increases to the optimal range, as δ increases to the critical value, even assuming only partial information on the ... -
Sparse bounds for the discrete spherical maximal functions
Kesler, Robert; Lacey, Michael T.; Mena Arias, Darío Alberto (2020)We prove sparse bounds for the spherical maximal operator of Magyar, Stein and Wainger. The bounds are conjecturally sharp, and contain an endpoint estimate. The new method of proof is inspired by ones by Bourgain and ... -
The Sparse T1 Theorem
Lacey, Michael T.; Mena Arias, Darío Alberto (2017)We impose standard T1-type assumptions on a Calderon-Zygmund operator T, and deduce that for bounded compactly supported functions f and g there is a sparse bilinear form B so that |< Tf, g >|; < B(f,g). The proof is short ... -
The Sparse T1 Theorem [presentación]
Mena Arias, Darío Alberto; Lacey, Michael T. (2017-03)