2010-2011

ARISTOTLE
UNIVERSITY OF THESSALONIKI

DEPARTMENT OF MATHEMATICS

DIVISION OF MATHEMATICAL ANALYSIS

Tel. 2310 997906, Fax 2310 997945

Organizing Committee:

D.Betsakos

I. Gasparis

Seminar Room: 3rd floor in the building of the

The seminar takes place every Tuesday 11-12 a.m. (unless otherwise stated)

**Vasilis Chousionis**,

Title: *Boundedness and convergence of singular integrals on general
measures.*

Abstract: We consider singular integral operators with respect to Radon
measures and we discuss how the geometric structure of the measures affects the
analytic behavior of the operators. We prove a general boundedness theorem in
the case where two measures are separated by a Lipshitz graph. As a consequence
we show that a certain type of weak convergence holds for a large class of
singular integrals. If time permits we discuss some recent relevant results in
the setting of Heisenberg groups.

**Stamatis Pouliasis**,

Title: *Condenser capacity and meromorphic functions*

Abstract: First we shall present some basic facts about condenser capacity,
Green functions and their relation with complex analysis. It is well known that
meromorphic functions decrease the capacity of a condenser. We shall prove an
equality statement for the condenser capacity inequality under meromorphic
functions.

**Mihalis Marias**,

Title: *Analysis on hyperbolic manifolds*

**Ioannis Platis**,

Title: *Modulus methods for problems of least energy*

**Ioannis Parissis**, Instituto Superior

Title: *Szemeredi's theorem, frequent and multiple recuurence*

Abstract

Speaker's notes

**Ioannis Parissis**, Instituto Superior

Title: *Logarithmic dimension bounds for the maximal function anong a
polynomial curve*

Abstract

Speaker's notes

**Athanasios Georgiadis **, Department of Mathematics, A.U.Th.

Title: *Riesz means on graphs*

**Romanos-Diogenes Malikiosis **,

Title: *Extensions of Minkowski's theorems on successive minima*

Abstract

**Galateia
Kleanthous **,
Department of Mathematics, A.U.Th.

Title: *A variation of Schwarz lemma*

**Michel
Marias**** **, Department of Mathematics, A.U.Th.

Title: *Multipliers on locally symmetric spaces*

The Analysis Seminar in 2009-2010.

The Analysis Seminar in 2008-2009.

The Analysis Seminar in 2007-2008.

The Analysis Seminar in 2006-2007.

The Analysis Seminar in 2005-2006.

The Analysis Seminar in 2004-2005.

The Analysis Seminar in 2003-2004.

The
Analysis Seminar in 2002-2003.(in Greek)

The
Analysis Seminar in 1992-2002.
(in Greek)