Jump inequalities for translation-invariant polynomial averages and singular integrals on $\mathbb Z^d$
Recent Developments in Harmonic Analysis May 15, 2017 - May 19, 2017
Location: SLMath: Eisenbud Auditorium
Tags/Keywords
harmonic analysis
singular integrals
discrete Radon transform
number theory
variational estimates
Mirek
The aim of this talk is to prove $\ell^p(\mathbb Z^d)$ inequalities with $1 < p < \infty$, for $\lambda$-jumps for discrete Radon transforms. These inequalities are the $r = 2$ endpoints of the $r$-variational estimates due to Mirek, Stein, and Trojan. This is a joint project with E.M. Stein and P. Zorin-Kranich.
Mirek Notes
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Mirek
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