Analysis seminars

2012

11 May, Friday, Maria Carmen Reguera, Centre for Mathematical Sciences, Lund University

10:15-11:15, Kompakta rummet
Title: Weights that avoid the cancellative propeties of singular integrals

Abstracts: In this talk, we will present a family of weights that avoid the cancellative properties of Singular Integrals. These weights rst appeared in the speaker's thesis to provide a counterexample to a dyadic version of the so called Muckenhoupt-Wheeden Conjecture, a weighted weak type estimate for Singular Integrals at the end point p = 1. The construction presented in this talk is a simplied version of the original one and it allows to disprove the full Conjecture. This is joint work with C. Thiele. In recent work with J. Scurry, we nd applications to another question of Muckenhoupt and Wheeden in the two weight setting.

16 May, Wednesday, Sergey Nazarov, Russian Academy of Sciences, Saint Petersburg, Russia

13:15-14:15, Kompakta rummet
Title: Spectral gaps for double periodic perforated media

Abstract: It will be shown that both, the Dirichlet and the Neumann problems for the Laplace operator in the plane perforated with the double periodic family of circular holes may have spectral gaps in their spectra. The method of investigation has, necessarily, crucial difference with the case of a waveguide. The famous golden section 0.6180... appears in several related calculations. Some other geometries and open questions will be demonstrated.

24 May, Thursday, Mats Aigner, MAI

10:15-12:00, Kompakta rummet
Title: Seminar series towards the index theorem

25 May, Friday, Interdisciplinary Seminar

10:15-11:15, Kompakta rummet

Earlier seminars

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