Seminar
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Location: | SLMath: Eisenbud Auditorium |
Keywords and Mathematics Subject Classification (MSC)
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Stein and Bourgain famously proved L^p bounds for the continuous spherical maximal function. Magyar-Stein-Wainger considered the natural discrete variant, but the sharp l^p(Z^n) bounds are different for this operator. Motivated by an ergodic version of the Waring-Goldbach problem, we prove l^p(Z^n) bounds for a discrete spherical maximal function along the primes. This is joint work with B. Cook, K. Hughes, and A. Kumchev.
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