Analysis Seminar in Crete (2012-13) |
Σεμιναριο Αναλυσης
Analysis Seminars in the World / Analysis seminars in Greece
DATE | TIME | ROOM | SPEAKER | FROM | TITLE | COMMENT |
---|---|---|---|---|---|---|
Wed, 10 Oct 2012 | 13:15 | Z.301 | Jose Ignacio Monreal Galan | University of Crete | The closure in the Bloch norm of Hardy spaces | |
The proof of a result by Peter Jones on the closure in the Bloch norm of BMOA may be adapted to give a description of the Bloch functions that can be approximated in the Bloch norm by functions in a Hardy space. This result, which depends deeply on the estimations for the Lusin area function proved by Fefferman and Stein, will be proved. Furthermore, we will talk about the closure of bounded analytic functions in Bloch, which is still an open problem. | ||||||
Wed, 31 Oct 2012 | 13:15 | Z.301 | Georgios Costakis | University of Crete | Multiple universal Taylor series | |
Thu, 8 Oct 2012 | 14:30 | Z.301 | Dimitris Cheliotis | University of Athens | The intersection of two renewal processes on the positive integers | |
Wed, 21 Nov 2012 | 13:15 | Z.301 | Ioannis Parissis | Aalto University | A variation norm Carleson theorem for vector-valued Walsh-Fourier series. | |
I will discuss some recent developments in vector-valued extensions of Carleson's theorem. If $f:\mathbb T,\mathbb R\to X$ is a function that takes values in a Banach space $X$, when do we have that the partial Fourier sums, or integral, converge to the function almost everywhere? Recently, Hytönen and Lacey showed that this theorem is true for the class of intermediate Banach spaces, that is spaces $X=[Y,H]_\theta$ which are complex interpolation spaces between a UMD Banach space $Y$ and a Hilbert space $H$; UMD means that $Y$-valued martingale differences converge unconditionally in the space. In a joint work with Hytönen and Lacey we ``almost characterize`` the Banach spaces $X$ for which a variation norm Carleson theorem holds true for $X$-vaued Walsh-Fourier series, which serve as a dyadic model for the Fourier case. The condition on the space and methods of proof follow the time-frequency analysis of Lacey and Thiele, adjusted to the vector-valued setup. I will also discuss some vector valued extensions of the Bilinear Hilbert Transform and related open problems. | ||||||
Wed, 28 Nov 2012 | 13:15 | Z.301 | Vassiliki Farmaki | University of Athens | Ramsey theory and topological dynamical systems | |
Wed, 12 Dec 2012 | 13:15 | Z.301 | Andreas Koutsogiannis | University of Athens | The principles of Ramsey theory, coloring and density results | |
Tue, 15 Jan 2013 | 13:15 | Z.301 | Nikos Pattakos | Michigan State University | Matrix A_2 weights, Littlewood-Paley type estimates and the Riesz transforms | |
Thu, 24 Jan 2013 | 18:15 | Z.301 | Pavel Zorin-Kranich | University of Amsterdam | IP limits in density Ramsey theory | |
Wed, 27 Feb 2013 | 13:15 | B214 | Nikos Tsirivas | University of Crete | Explicit sequences of indices on which universality occurs | |
Wed, 3 April 2013 | 13:15 | B214 | Costas Poulios | University of Crete | Non-separable tree-like Banach spaces and Rosenthal's $\ell_1$-theorem | |
Wed, 24 April 2013 | 13:15 | B214 | Nikos Frantzikinakis | University of Crete | Partition regularity of some quadratic equations | |
Wed, 15 May 2013 | 13:15 | B214 | Christos Sourdis | University of Crete | A new one-dimensional symmetry result for entire solutions to elliptic equations of Allen-Cahn type | |
Wed, 22 May 2013 | 13:15 | B214 | Jose Ignacio Monreal Galan | University of Crete | Interpolating and sampling sequences for analytic self-mappings of the unit disc | |
Fri, 31 May 2013 | 13:15 | B214 | Konstantinos Tyros | University of Toronto | Density theorems for trees and words | |
Thu, 4 July 2013 | 13:15 | B214 | Romanos-Diogenis Malikiosis | NTU Singapore | Gabor frames in finite dimensions | |
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