[Amath-seminars] Fwd: PIMS Hugh C. Morris Lecture w/ Rodrigo Bañuelos (Purdue University)

Tony Garcia tonyg2 at uw.edu
Wed May 8 15:40:36 PDT 2019


Hi all,

This is an upcoming talk that we are co-sponsoring with Mathematics and
Statistics!

This may be of interest to some.

Thank you,
Tony

---------- Forwarded message ---------
From: Rose Choi <rosechoi at math.washington.edu>
Date: Mon, May 6, 2019 at 10:21 AM
Subject: PIMS Hugh C. Morris Lecture w/ Rodrigo Bañuelos (Purdue University)
To:


PIMS Hugh C. Morris Lecture: Conditional Expectation and Calderón-Zygmund
Operators
<https://math.washington.edu/events/2019-05-23/pims-hugh-c-morris-lecture-conditional-expectation-and-calderon-zygmund-operators>
*Rodrigo Bañuelos, Purdue University*
May 23, 2019 - 2:30pm to 3:30pm
Gowen 201

In his 1983 research announcement “Some results in harmonic analysis in ℝn,
for 𝙣 → ∞ ” (Bulletin of the AMS), E.M. Stein announced new results for
several classical operators in harmonic analysis with operator norms that
do not depend on the dimension 𝙣, and raised the following question: “Can
one find an appropriate infinite-dimensional formulation of (that part of)
harmonic analysis in ℝn, which displays in a natural way the above
uniformity in 𝙣?” This talk describes the representation of some classical
Calderón-Zygmund operators as conditional expectations of stochastic
integrals. From this representation, probability gives bounds on their
norms that are not only universal in terms of the geometry of the space
where they are defined but in several instances are also sharp. To
illustrate the techniques, we describe an application to a long-standing
open problem concerning the norm of the discrete Hilbert transform. The
latter is joint work with Mateusz Kwaśnicki of Wrocław University of
Science and Technology, Poland.



--

TONY GARCIA
Administrative Assistant III
Applied Mathematics

Lewis Hall Box 353925
206.543.5493
tonyg2 at uw.edu
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