Schedule

Organisers:  S. Grudsky (Mexico City), N. Vasilevski (Mexico City)

The idea of the session is to bring together the experts actively working on Toeplitz operators acting on Bergman, Fock or Hardy spaces, as well as  in various related areas where Toeplitz operators play an essential role, such as asymptotic linear algebra, quantisation, approximation, singular  integral and convolution type operators, financial mathematics, etc.

We expect that the results presented, together with fruitful discussions, will serve as a snapshot of the current stage of the area, as well as for better understanding of the priority directions and themes of future developments.

Schedule

Organisers:  A. Berlinet (Montpellier), S. Saitoh (Kiryu)

Since the first works laying its foundations as a sub-field of Complex Analysis, the theory of reproducing kernels has proved to be a powerful tool in many fields of Pure and Applied Mathematics. The aim of this session is to gather researchers interested in theoretical as well as applied modern problems involving this theory.

Schedule

Organisers:  A. Kilbas (Minsk), S. Saitoh (Kiryu)

Schedule

Organisers:  V. Burenkov (Padova), S. Samko (Faro)

The session ``Spaces of differentiable functions of several real variables and applications'' intends to cover   various aspects  of the theory of Real Variables  Function Spaces (Lebesgue, Orlich, Sobolev, Nikol'skii-Besov, Lizorkin-Triebel, Morrey, Campanato, and other spaces with zero or non-zero smoothness), such as imbedding properties, density of nice functions, weight problems, trace problems,  extension theorems, duality theory etc.  Various generalizations of  these spaces are welcome, such as for example Orlicz-Sobolev spaces, in particular generalized Lebesgue-Sobolev spaces of variable order, Morrey-Sobolev spaces, Musielak-Orlich spaces and their Sobolev counterparts etc. Other topics: any inequalities related to these spaces, properties of operators of real analysis acting in such spaces  and also various applications to partial differential equations and integral equations.

III. Functional Analysis and operator theory

Schedule

Organisers: E. B. Davies, A. Laptev, Yu. Safarov (all London)

Anticipated topics are: Spectral theory of differential operators. Spectra of non-self-adjoint operators. Spectral asymptotics. Scattering theory. General spectral theory and related topics.

Schedule

Organisers:   R. Aulaskari (Joensuu), T. Kaptanoglu (Ankara), J. Rättyä (Joensuu)

Anticipated topics are normal families, Hardy, Bergman, Bloch, Besov, Lipschitz, Fock or Qp-spaces in one or several holomorphic or harmonic variables, function spaces and local theory of complex differential equations, boundary behaviour, Toeplitz, Hankel, composition, Volterra and multiplication operators between function spaces, reproducing kernel Hilbert spaces of holomorphic or harmonic functions, etc.