Research

Interests:

• Functional Analysis

• Operator Theory

• Functions of One Complex Variable

• Inverse Problems

• Approximation Theory

My research interests are in areas related to analysis. Mostly, I am interested in problems in functional analysis, functions of one complex variable, operator theory and approximation theory, and specifically the interaction between these subjects.

Some of my research projects are related to linear inverse problems and for the most recent to complex partial differential equations via functional spaces.

Some of my research papers can be accessed via the Arxiv preprint server. However, for the final version of the paper consult the journal where it is published. 

• Three open problems in function theoretic operator theory, P. Gorkin and E. Pozzi, accepted in the AMS Contemporary Mathematics series``Recent progress in function theory and operator theory'', 2023.
  
  

• Evolution of superoscillations for spinning particles, F. Colombo, I. Sabadini, E. Pozzi and B. D. Wick, accepted in Proceedings of the American Mathematical Society, March 2023.
  
  

•  An operator theoretical approach of some inverse problems}, J. Leblond and E. Pozzi, accepted in Functions Spaces, Theory and Applications in the Fields Communication Series, Springer-Nature, 2023.

•  Persistence of superoscillations under the Schrödinger equation, E. Pozzi and B. D. Wick, Evolution Equations and Control Theory, 11 (3), 2022.   
  
  

• Solutions to inverse magnetic moment estimation problems in dimension 2, using best constrained approximation, J. Leblond, E. Pozzi, Journal of Approximation Theory, 264, 2021.

• Commutators of maximal functions on spaces of homogeneous type and their weighted, local versions, Z. Fu, E. Pozzi, Q. Wu, to appear in Frontiers of Mathematics in China.

•  Commutators on weighted Morrey wpaces on spaces of homogeneous type}, J . Li, E. Pozzi, G. Ruming, M. Vempati, Analysis and Geometry in Metric Spaces, 8 (1), 305-334, 2020. 

• Cauchy-Szego commutators on weighted Morrey spaces, Q. Wu, Z. Fu, E. Pozzi, G. Ruming, published in Mathematische Nachrichten, 2020. 

• Commutators of Maximal Functions on Spaces of Homogeneous type and their weighted, local versions,  Z. Fu, E. Pozzi, Q. Wu, submitted 2020.

• Hardy spaces of generalized analytic functions and composition operators}, E Pozzi, Concrete Operators, 5: 923, 2018. 

• Lower bounds for the dyadic Hilbert transform, P. Jaming, E. Pozzi and B. D. Wick, Annales de la Faculté des Sciences de Toulouse, 27, 265-284, 2018.

• Composition operators on generalized Hardy spaces, J. Leblond, E. Pozzi, E. Russ, Complex Analysis and Operator Theory, 9(8):1733-1755, 2015. 

• Best approximation by functions in Hardy spaces and by polynomials, with norm constraints}, J. Leblond, J.R.~Partington, E. Pozzi, \textit{Integral Equations and Operator Theory}, 75(4):491-516, 2013. 

• Universality of weighted composition operators on L^2([0,1]) and Sobolev spaces, E. Pozzi, Acta Scientiarum Mathematicarum (Szeged), 78: 609-642, 2012. 

• Universal shifts and composition operators}, J.R. Partington, E. Pozzi, Operators and Matrices, 5: 455-467, 2011. 

• Multivariable weighted composition operators: lack of point spectrum and cyclic vectors}, I. Chalendar, J.R.~Partington, E. Pozzi, Operator Theory: Advances and Applications, 202:~63-85, 2010.