# Functional Analysis, Approximation Theory and Numerical Analysis

## Matera, Italy, July 5-8, 2022

**Session:** **Operators in Function Spaces: convergence properties and applications**

The proposed session focuses on the properties of families
of operators in function spaces, in particular (but not limited to)
convolution integral operators, linear or non linear Urysohn type
operators, discrete operators like sampling series and their generalizations.
The aim is to point to the state of current researches concerning convergence properties
and their concrete applications (for example to signal analysis and image reconstruction).

**Organizers:**

- Carlo Bardaro,
*carlo.bardaro@unipg.it*
- Ilaria Mantellini,
*ilaria.mantellini@unipg.it*

**Talks:**

- T. Acar,
*A Characterization of the Rate of the Simultaneous
Approximation by Generalized Sampling Series*
- T. Alagöz,
*Weighted Approximation for the Families of
Sampling Operators*
- D. Bugajewski,
*Convolution operators in spaces of almost periodic
functions and applications*
- D. Costarelli,
*Approximation properties of the sampling
Kantorovich operators: regularization, saturation,
inverse results and Favard classes in L^p-spaces*
- J.V. Fischer,
*Discretization in Generalized Function Spaces*
- B. Forster,
*Frame recycling*
- M. Lanza de Christoforis,
*Nonlinear composition operators in Grand
Lebesgue spaces*
- F. Lanzara,
*Accurate computation of the multidimensional
fractional Laplacian*
- H. Mascarenhas,
*Convergence of norms and singular values of
generalized Toeplitz matrices*
- B. Moletsane,
*Perturbation by Weakly Continuous Forms*
- M. Natale,
*Quantitative estimates for nonlinear sampling
Kantorovich operators in functional spaces*
- M. Piconi,
*Approximation properties of Durrmeyer-sampling
type operators in functional spaces*
- T.K. Pogány,
*Derivative plane
sampling and weighted differential operator*
- S. Reinwand,
*Types of convergence which preserve continuity*
- A. Travaglini,
*Quantitative estimates for nonlinear sampling
Kantorovich operators in functional spaces*
- M. Turgay,
*Weighted Approximation by Bivariate Generalized
Sampling Series*
- F. Weisz,
*Hardy spaces with variable exponents and maximal
operators*
- L. Zampogni,
*A general method to study the convergence of
nonlinear operators in Orlicz spaces*
- A. Zayed,
*On Multi-dimensional Fractional Integral
Transformations*