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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

May 15, 2017 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Mariusz Mirek (Hausdorff Research Institute for Mathematics, University of Bonn)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • harmonic analysis

  • singular integrals

  • discrete Radon transform

  • number theory

  • variational estimates

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Mirek

Abstract

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.

Supplements
28683?type=thumb Mirek Notes 363 KB application/pdf Download
Video/Audio Files

Mirek

H.264 Video 2-Mirek.mp4 134 MB video/mp4 rtsp://videos.msri.org/data/000/028/429/original/2-Mirek.mp4 Download
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