The Analysis Seminar in Thessaloniki

2023-2024

ARISTOTLE UNIVERSITY OF THESSALONIKI
DEPARTMENT OF MATHEMATICS
DIVISION OF MATHEMATICAL ANALYSIS

Organizing Committee:

1. Fotiadis
2. Galanopoulos

Seminar Room:  M2, 3rd floor in the building of the School of Sciences

Program of Talks

Monday,  23 October 2023, 12.15-13.00

Eleftherios Theodosiadis, Stockholm University
Title: Geometric discription of some Loewner chains with infinitely many slits

 

Thursday,  2 November 2023, 11.15-12.00

Ioannis Polychrou, Aristotle University of Thessaloniki
Title: The sinh-Gordon equation and harmonic mappings

Thursday,  30 November 2023, 11.15-12.00

Aurelia Dymek, Nikolaus Copernicus University in Torun
Title: Dynamics of sets of numbers

 

Tuesday,  5 December 2023, 12.15-13.00 (Room M0)

Konstantinos Tsinas, University of Crete
Title: Multiple ergodic averages along primes

Friday,  15 December 2023, 12.15-13.00

Nikos Stylianopoulos, University of Cyprus
Title: Comparison Law for Cristoffel functions

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Analysis Winter Meeting 2023
Friday,  22 December 2023

Program

10.00-10.25:  Vyron Vellis, University of Tennessee
Tangents of Holder curves

10.35-11.00: Dimitrios Ntalampekos, Stony Brook University
Definition of quasiconformality and exceptional sets

11.10-11.35:  Athanasios Tsantaris, University of Helsinki
Quasiconformal curves and quasiconformal mappings

                                               Break

12.00-12.25: Athanasios Kouroupis, NTNU, Trondheim
An extension of Bohr’s theorem

12.35-13.00:  Vassilis Daskalogiannis, A.U.Th. and A.C.T.
Generalized Ηilbert operators arising from Hausdorff matrices

13.10-13.35:  Vasiliki Evdoridou, Open University U.K.
Contracting compositions of inner functions and the Denjoy-Wolff set

                                               Break

16.30-16.55: Nikolaos Eptaminitakis,  Leibniz University Hannover
The method of weakly nonlinear geometric optics for the Westervelt equation

17.05-17.30: Myrto Manolaki, University College Dublin
Taylor polynomials and boundary behaviour of Abel universal functions

17.40-18.05: Konstantinos Maronikolakis, University College Dublin
Composition problems of Abel universal functions

                                               Break

18.30-18.55: Nikolaos Athanasiou, University of Crete
Formation of trapped surfaces in the Einstein-Yang-Mills system

19.05-19.30:   Stathis Chrontsios, University of Tennessee
Dimension notions and holomorphic maps

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Tuesday,  6 February 2024, 11.15-12.00

Jani Virtanen, University of Reading, UK
Title: Essential positivity and Toeplitz operators

Thursday,  8 February 2024, 11.15-12.00

Santeri Miihkinen, University of Reading, UK
Title: The infinite Hilbert matrix of analytic functions

 

Thursday,  28 March 2024, 11.15-12.00

Nikolaos Athanasiou, A.U.Th.
Title: Formation of trapped surfaces in the General Theory of Relativity

Thursday,  4 April 2024, 11.15-12.00

Dimitrios Vavitsas, Jagiellonian University

Title: Non-cyclicity and polynomials in Dirichlet-type spaces of Bn

 

Thursday,  11 April 2024, 11.15-12.00

Francisco Jose Cruz Zamorano, Universidad de Sevilla
Title: Recent advances on Koenigs functions and Hardy spaces

 

Thursday,  18 April 2024, 11.15-12.00

Nikolaos Papanastassiou, NKUA
Title: Excaustive sequences of functions

 

Thursday,  16 May 2024, 11.15-12.00

Miltiadis Paschalis, NKUA
Title: Shape sensitivity of the Hardy constant

 

Thursday,  16 May 2024, 12.15-13.00

Mihalis Mourgoglou,  University of Basque Country, UPV/EHU
Title: Varopoulos extensions and applications to boundary value problems in rough domains
Tuesday,  18 June 2024, 11.15-12.00

Alejandro Mahillo,  Universidad de Zaragoza
Title: Spectral properties of the Cesaro operator via semigroup theory and a note on universality

 

Friday,  21 June 2024, 10.15-11.00

Konstantinos Bambouras,  NTNU, Trondheim

Title: Norm attaining vectors and Hilbert points

 

Friday,  21 June 2024, 11.15-12.00

Christna Giannitsi,  Vanderblitt University

Title: A brief introduction to analysis on the Gaussian integers.

Publications
[1] On certain harmonic measures on the unit disk. Colloquium Math.73 (1997), 221-228.
[2] Harmonic measure on simply connected domains of fixed inradius. Ark. Mat. 36 (1998), 275-306.
[3] Polarization, conformal invariants and Brownian motion. Ann. Acad. Sci. Fenn. Ser. A I Math. 23 (1998), 59-82.
[4] On bounded univalent functions that omit two given values. Colloquium Math. 80 (1999), 253-258.
[5] An extension of the Beurling-Nevanlinna projection theorem. Computational Methods in Function Theory (CMFT’97). N.Papamichael, St.Ruscheweyh and E.Saff (Eds.), pp.87-90. World Scientific, 1999.
[6] On conformal capacity and Teichm\”uller’s modulus problem in space. Journal d’Analyse Mathematique 79 (1999), 201-214.
[7] (with A.Yu.Solynin) Extensions of Beuring’s shove theorem for harmonic measure. Complex Variables 42 (2000), 57-65.
[8] (with M.Vuorinen) Estimates for conformal capacity. Constructive Approximation 16 (2000), 589-602.
[9] On the equilibrium measure and the capacity of certain condensers. Illinois J. Math. 44 (2000), 681-689.
[10] Geometric theorems and problems for harmonic measure. Rocky Mountain J. of Math. 31 (2001), 773-795.
[11] Extremal problems for extremal distance and harmonic measure. Complex Variables 45 (2001), 201-212.

[12] Hitting probabilities of conditional Brownian motion and polarization. Bulletin Australian. Math. Soc. 66 (2002), 233-244.
[13] (with A.Yu Solynin) On the distribution of harmonic measure on simply connected planar domains. Journal Australian Math. Soc. 75 (2003), 145-151.
[14] Two point projection estimates for harmonic measure. Bulletin London Math. Soc. 35 (2003), 473-478.
[15] On separating conformal annuli and Mori’s ring domain in $R^n$. Israel J. of Math. 133 (2003), 1-8.
[16] Symmetrization, symmetric stable processes, and Riesz capacities. Trans. Amer. Math. Soc. 356 (2004), 735-755. Addendum 356 (2004), 3821.
[17] Polarization, continuous Markov processes and second order elliptic equations. Indiana Univ. Math. J. 53 (2004), 331-346.
[18] (with K.Samuelsson and M.Vuorinen) The computation of capacity of planar condensers. Publ. Inst. Math. 75 (89) (2004), 233-252.

[19] Elliptic, hyperbolic, and condenser capacity; geometric estimates for elliptic capacity. Journal d’Analyse Mathematique 96 (2005), 37–55.
[20] (with S.Grigoriadou) On the determination of a measure by the orbits generated by its logarithmic potential. Proc. Amer. Math. Soc. 134 (2006), 541–548.
[21] Estimation of the hyperbolic metric by using the punctured plane. Math. Z. 259 (2008), 187–196.
[22] Some properties of $\alpha$-harmonic measure. Colloq. Math. 111 (2008), 297-314.
[23] Equality cases in the symmetrization inequalities for Brownian transition functions and Dirichlet heat kernels. Ann. Acad. Sci. Fenn. Ser. A I Math. (2008), 413–427.
[24] Symmetrization and harmonic measure. Illinois J. Math. 52 (2008), 919-949.
[25] An extremal problem for the hyperbolic metric on Denjoy domains. Comp. Methods Function Theory  10 (2010), 49-59.
[26] Geometric versions of Schwarz’s lemma for quasiregular mappings. Proc. Amer. Math. Soc. 139 (2011), 1397-1407.
[27] Multi-point variations of Schwarz lemma with diameter and width conditions. Proc. Amer. Math. Soc. 139 (2011), 4041-4052.

[28] (with S.Pouliasis) Equality cases for condenser capacity inequalities under symmetrization. Annales Univ. Mariae Curie-Skłodowska 66 (2012), 1-24.

[29] (with S.Pouliasis) Versions of Schwarz’s lemma for condenser capacity and inner radius. Canadian Math. Bul. 56 (2013), 241-250.

[30] Holomorphic functions with image of given logarithmic or elliptic capacity. J. Australian Math. Soc.  94  (2013), 145-157.

[31] Hyperbolic geometric versions of Schwarz’s lemma. Conformal Geometry and Dynamics 17 (2013), 119-132.

[32] Estimates for convex integral means of harmonic functions. Proc. Edinb. Math. Soc. 57 (2014),  619–630.

[33] On the images of horodisks under holomorphic self-maps of the unit disk. Archiv der Math. (Basel) 102 (2014), 91–99.
[34] Lindelof’s principle and estimates for holomorphic functions involving area, diameter, or integral means. Comp. Methods Function Theory  14 (2014), 85-105.

[35] On the existence of strips inside domains convex in one direction. Journal d’Analyse Mathematique 134 (2018), 107-126.

[36] On the asymptotic behavior of the trajectories of semigroups of holomorphic functions.J. Geometric Analysis 26 (2016), 557-569.

[37] On the rate of convergence of parabolic semigroups of holomorphic functions.Analysis and Math. Physics 5 (2015), 207-216.

[38] On the rate of convergence of hyperbolic semigroups of holomorphic functions. Bulletin London Math. Soc. 47 (2015), 493-500.

[39] Geometric description of the classification of holomorphic semigroups. Proc. Amer. Math. Soc. 144 (2016), 1595-1604.

[40] On the eigenvalues of the infinitesimal generator of a  semigroup of composition operators. J. Funct. Anal. 273 (2017), 2249-2274.

[41] On the eigenvalues of the infinitesimal generator of a  semigroup of composition operators on Bergman spaces. Bulletin Hellenic Math. Soc. 61 (2017), 41-54.

[42] (with S.Pouliasis)  Isometries for the modulus metric are quasiconformal mappings. Trans. Amer.  Math. Soc.  372  (2019), 2735-2752.

[43] Angular derivatives and compactness of composition operators on Hardy spaces. J. Operator Theory 82  (2019),  189-196.

[44] (with G.Kelgiannis, M.Kourou, S.Pouliasis)  On the asymptotic behavior of condenser capacity under Blaschke products and universal covering maps. Proc. Amer. Math. Soc. 147 (2019), 2963-2973.

[45] (with G.Kelgiannis, M.Kourou, S.Pouliasis)  Semigroups of holomorphic functions and condenser capacity.   Analysis and Math. Physics  10 (2020), 18 pp.

[46] (with M. D. Contreras, S. Diaz-Madrigal)  On the rate of convergence of semigroups of holomorphic functions at the Denjoy-Wolff point.  Revista Mathematica Iberoamericana 36 (2020), 1659-1686.

[47] (with M. Boudabra, G. Markowsky)  On the probability of fast exits and long stays of planar Brownian motion in simply connected domains. J. Math. Anal. Appl. 493 (2021),  10 pp.

[48] (with C. Karafyllia, N. Karamanlis)  Hyperbolic metric and membership of conformal maps in the Bergman space. Canadian Math. Bul. 64 (2021), 174-181.  

[49] (with A.Yu. Solynin) Heating long pipes, Analysis and Math. Physics 11 (2021), 35 pp.

[50] (with N. Karamanlis)  Conformal invariants and the angular derivative problem.  J. London Math. Soc.  105 (2022), 587-620.

[51] (with M. Boudabra, G. Markowsky) On the duration of stays of Brownian motion in domains in Euclidean space. Electronic Communications in Probability 27 (2022), Paper No. 58, 12 pp.      

[52]  (with A. Yu. Solynin, M. Vuorinen)   Conformal capacity of hedgehogs. Conformal Geometry and Dynamics 27 (2023), 55-97.

[53] (with A. Yu. Solynin) Temperature of rods with Robin boundary conditions. J. Math. Anal. Appl. 528 (2023), Paper No. 127578, 16 pp.

[54] (with N. Karamanlis)   On the monotonicity of the speeds for semigroups of holomorphic self-maps of the unit disk.

Trans. Amer.  Math. Soc. (to appear).