About the meeting

Recent years have witnessed a substantial increase in “cross- cultural” work involving holomorphic functions in one, several, and infinitely many variables. The main aim of these meeting is to enable people working in one, several, and infinitely many complex variables to discuss common and closely related results and problems. Among these topics are recent studies about complex approximation and extension of holomorphic (complex analytic) functions, Banach algebras of bounded holomorphic functions in finite and infinite dimensional domains, and topics concerning universality.

What is Our Goal?

The general topic of the meeting is holomorphic functions of one, several, and infinitely many complex variables, with particular emphasis on

  • Banach algebras of such functions,
  • Fiber and Gleason part structure of the maximal ideal space of these functions,
  • Approximation of such functions.

2018
October 1-5

Levico Terme
Trento
(Italy)

List of participants

  • Abakumov, Evgeny
  • Anderson, John
  • Aron, Richard
  • Arcozzi, Nicola
  • Baranov, Anton
  • Blasco, Oscar
  • Bonet, Pepe
  • Botelho, Geraldo
  • Carando, Daniel
  • Castillo, Jaime
  • Charpentier, Stephane
  • Defant, Andreas
  • Dimant, Veronica
  • Falcó, Javier
  • Galindo, Pablo
  • Garcia, Domingo
  • Gauthier, Paul
  • Izzo, Alexander
  • Kosinski, Lukasz
  • Lassalle, Silvia
  • Lefevre, Pascal
  • Lindstrom, Mikael
  • Lykova, Zinaida
  • Maestre, Manuel
  • Manolaki, Myrto
  • Moraes, Luiza Amalia
  • Nestoridis, Vassili
  • Ortega Castillo, Sofía
  • Peloso, Marco
  • Rueda, Pilar
  • Ryan, Ray
  • Saksman, Eero
  • Seco, Daniel
  • Thomas, Pascal
  • Whittlesey, Marshall
  • Young, Nicholas
  • Yun Sung, Choi
  • Zagorodnyuk, Andriy
  • Zwonek, Wlodzimierz

X close list

Talks

  • E. Abakumov : Analytic balayage of measures and badly approximable functions in $L^p (\Bbb T)$
  • J. Anderson : Rational Hulls of some totally real Klein bottles
  • N. Arcozzi: The Dirichlet Space on the bi-disc
  • A. Baranov: Cyclic and hypercyclic Toeplitz operators
  • O. Blasco: Matriceal harmonic analysis for matrices with operator entrie
  • J. Bonet: Monomial basis in spaces of analytic functions of Korenblum type and operators on these spaces
  • G. Botelho: Polynomial hulls and analytic structure
  • D. Carando: Basic sequences in vector valued Hardy spaces of Dirichlet series
  • J. Castillo: Studying composition operators of spaces of double Dirichlet sereies
  • Y. S. Choi: The Bishop-Phelps-Bollobás properties in a complex Hilbert space
  • A. Defant: Aspects of Hardy spaces of general Dirichlet series
  • V. Dimant: Gleason parts for algebras of holomorphic functions on $c_0$
  • D. García: A characterization of the Schur property through the disk algebra
  • P. Gauthier: Rational approximation on products of planar sets
  • A. Izzo: Polynomial hulls and analytic structure (joint work with Marshall Whittlesey and John Anderson)
  • L. Kosinski: Extension property and Carathéodory sets
  • S. Lassalle: On the behavior of holomorphic mappings on A-compact sets
  • P. Lefevre: An interpolation problem for abscissae of convergence for Hardy spaces of Dirichlet series
  • Z. Lykova: Algebraic and geometric aspects of rational $\Gamma$-inner functions
  • M. Manolaki: One-sided extendability of bounded functions
  • L. Moraes: On the Continuity of the Composition Operation for Spaces of Holomorphic Mappings
  • S. Ortega-Castillo: Strong pseudoconvexity in Banach spaces
  • P. Rueda: A holomorphic characterization of the compact approximation property
  • R. Ryan: Orthogonally Additive Holomorphic Functions
  • D. Seco: Boundary behavior of optimal approximants
  • P. Thomas: Cyclicity of non vanishing functions in the polydisc and in the ball
  • M. Whittlesey: Analytic structure in boundaries of polynomial hulls fibered over the ball in C2
  • N. Young: Realization formulae for bounded holomorphic functions on certain domains and an application to the Carathéodory extremal problem.
  • A. Zagorodnyuk: Algebras generated by countable sets of polynomials on Banach spaces
  • W. Zwonek: From the symmetrized bidisc and tetrablock to symmetric powers: function theoretic approach

Talks at the Meeting

All participants that wish to present a talk are invited to do so. In parallel it is planned to have plenty of time for discussion outside of the lecture schedule.


If you wish to present a talk, please contact the Organizing Committee.

Event Schedule

9:45 AM - 10:00 AM
Organizers.
Opening.
10:00 AM - 10:55 AM
A. Defant
Aspects of Hardy spaces of general Dirichlet series
11:00 AM - 11:30 AM
Break
11:30 AM - 11:55 AM
D. Seco
Boundary behavior of optimal approximants
12:00 PM - 12:25 PM
M. Manolaki
One-sided extendability of bounded functions
12:30 PM - 13:05 PM
D. García
A characterization of the Schur property through the disk algebra
13:10 PM - 15:30 PM
Lunch
15:30 PM - 16:05 PM
J. Bonet
Monomial basis in spaces of analytic functions of Korenblum type and operators on these spaces
16:10 PM - 16:45 PM
P. Rueda
A holomorphic characterization of the compact approximation property
9:30 AM - 10:25 AM
A. Izzo
Polynomial hulls and analytic structure (joint work with Marshall Whittlesey and John Anderson)
10:30 AM - 10:55 AM
G. Botelho
Generalized adjoints and applications to composition operators
11:00 AM - 11:30 AM
Break
11:30 AM - 11:55 AM
L. Moraes
On the Continuity of the Composition Operation for Spaces of Holomorphic Mappings
12:00 PM - 12:35 PM
N. Young
Realization formulae for bounded holomorphic functions on certain domains and an application to the Carathéodory extremal problem
12:40 PM - 13:15 AM
P. Thomas
Cyclicity of non vanishing functions in the polydisc and in the ball
13:20 PM - 15:30 PM
Lunch
15:30 PM - 16:05 PM
L. Kosinski
Extension property and Carathéodory sets
16:10 PM - 16:45 PM
Z. Lykova
Algebraic and geometric aspects of rational $\Gamma$-inner functions
16:50 PM - 17:25 PM
W. Zwonek
From the symmetrized bidisc and tetrablock to symmetric powers: function theoretic approach
9:30 AM - 10:05 AM
E. Abakumov
Analytic balayage of measures and badly approximable functions in $L^p (\Bbb T)$
10:10 AM - 10:45 AM
V. Dimant
Gleason parts for algebras of holomorphic functions on $c_0$
10:50 AM - 11:20 AM
Break
11:20 AM - 11:55 AM
S. Lassalle
On the behavior of holomorphic mappings on A-compact sets
12:00 PM - 12:25 PM
S. Ortega-Castillo
Strong pseudoconvexity in Banach spaces
12:30 PM - 12:55 PM
R. Ryan
Orthogonally Additive Holomorphic Functions
13:00 PM - 15:00 PM
Lunch
9:30 AM - 10:25 AM
P. Gauthier
Rational approximation on products of planar sets
10:30 AM - 10:55 AM
J. Castillo
Studying composition operators of spaces of double Dirichlet sereies
11:00 AM - 11:30 AM
Break
11:30 PM - 12:05 PM
O. Blasco
Matriceal harmonic analysis for matrices with operator entrie
12:10 PM - 12:45 PM
Y. S. Choi
The Bishop-Phelps-Bollobás properties in a complex Hilbert space
13:20 PM - 15:30 PM
Lunch
15:30 PM - 16:05 PM
A. Zagorodnyuk
Algebras generated by countable sets of polynomials on Banach spaces
16:10 PM - 16:45 PM
A. Baranov
Cyclic and hypercyclic Toeplitz operators
9:30 AM - 10:25 AM
N. Arcozzi
The Dirichlet Space on the bi-disc
10:30 AM - 10:55 AM
J. Anderson
Rational Hulls of some totally real Klein bottles
11:00 AM - 11:30 AM
Break
11:30 AM - 11:55 AM
M. Whittlesey
Analytic structure in boundaries of polynomial hulls fibered over the ball in C2
12:00 PM - 12:35 PM
D. Carando
Basic sequences in vector valued Hardy spaces of Dirichlet series
12:40 PM - 13:10 AM
P. Lefevre
An interpolation problem for abscissae of convergence for Hardy spaces of Dirichlet series

Event Location

BellaVista Relax Hotel

Viale Vittorio Emanuele III, 7
38056 Levico Terme (Tn)
Phone: +39 0461 706136
Fax: +39 0461 706474
Web: www.bellavistarelax.it
Email: info@bellavistarelax.it

This hotel is located in the spa resort Levico Terme, which has fairly frequent train and bus service linking it to Trento. Room and full board is available to all accepted participants at a substantially subsidized price.

Event FAQs

The recommended day of arrival is Sunday, September 30, and the departure is after lunch on Friday, October 5.

The hotel arrangements are the four-star Hotel Bellavista Relax in Levico Terme, where the meeting will be held.

The conference hall has beamer facilities (for, e.g., pdf presentations) as well as four blackboards.