Weighted theory in the Bergman space

Purpose and goal

The purpose for the visit to Lund University was the preparation of the different aspects of the Vinnmer Marie Curie Incoming project with title ´Dyadic Harmonic Analysis and Weighted theory in the Bergman space´. The project focuses on the study of weighted estimates for the Bergman projection using techniques from harmonic analysis, area of expertise of the Vinnmer fellow. The visit served as time and place to further detail the mathematical goals of the project, including a new question and possible applications, to set up a work plan and to discuss the financial aspects of the project.

Results and expected effects

The ultimate result of the visit to Lund University was the successful submission of the Vinnmer Marie Curie incoming project ´Dyadic Harmonic Analysis and Weighted theory in the Bergman space´. Specific results include the identification of mathematical problems interesting to a broad community and with high probability of resolution given the different areas of expertise of the fellow and the group in Lund other than the ones identified prior to the visit. Achieving a detail table with the finances of the project and identifying activities for potential gaining of research skills.

Approach and implementation

The visit to Lund was scheduled for the week 3rd-7th March, 2014. During that week, the fellow met in several occasions the financial team at the department of Mathematics, Professor Sandra Pott to discuss the mathematics of the B_\infty theory as well as the possibilities of training that the deparment could offer the fellow and Professor Alexandru Aleman to discuss the possible applications of the two weight theory for the Bergman projection and extensions to other settings. The fellow gave a talk about her current research at the analysis seminar on March 4th.