Christoph Thiele: L^p theory for outer measures and applications

Christoph Thiele, Universität Bonn

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Time: Wed 2013-09-25 15.15 - 17.00

Location: Room FD5, Roslagstullsbacken 21, Albanova

Schedule

14:15-15:00: Precolloquium for PhD and master students by Andreas Minne (Room FD5)
15:15-16:15: Colloquium lecture by Christoph Thiele (Room FD5)
16:15-17:00: Coffee and SMC social get-together.

Abstract (Colloquium)

We develop an Lp theory for outer measures which differs from classical examples in that it replaces the outer measure of the set where a given function exceeds a given threshold by a more general quantity. The theory gives an alternative description of some well known themes such as Carleson embedding theorems and paraproduct estimates. It is also behind time-frequency-analysis as orginated in Carleson's proof of a.e. convergence of Fourier series and can be used to prove bounds for the bilinear Hilbert transform. This is joint work with Yen Do. 

Kollokvier 2013

Titel Datum
Kristian Seip: Analysis on polydiscs 2013‑11‑27
Bernd Sturmfels: The Euclidean Distance Degree 2013‑10‑09
Christoph Thiele: L^p theory for outer measures and applications 2013‑09‑25
Antti Kupiainen: Critical Multiplicative Chaos 2013‑05‑15
Günther Uhlmann: Cloaking: Science Meets Science Fiction 2013‑04‑24
Anatoliy Fomenko: Topological classification of Hamiltonian equations with symmetries. Application to physics and mechanics 2013‑02‑27
Jan-Erik Roos: Classical Lie algebras contra infinite-dimensional positively graded Lie algebras 2013‑02‑06