Analysis Seminar in Crete (2012-13)

Σεμιναριο Αναλυσης

    Department of Mathematics / Fourier and Functional Analysis / Previous years: 2011-12/ 2010-11/ 2009-10/ 2008-09/ 2007-08/ 2006-07/ 2005-06/ 2004-05 / Summer 2004 / 2003-04 / 2002-03 / 2001-02 / 2000-01 / 1999-00

    Analysis Seminars in the World / Analysis seminars in Greece

In chronological ordering
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.301Pavel 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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