My main area of research interest involves spaces of analytic functions and their relations to operator theory and harmonic analysis. For example, I am interested in Hardy spaces, Bergman spaces, Fock spaces, and operators and linear functionals on these spaces. I am also interested in how these spaces relate to topics in harmonic analysis, and in spaces such as including real valued Hardy spaces, Littlewood-Paley theory, maximal functions, and square functions.
I am also interested in finding upper and lower bounds for various operators on spaces of analytic function.
My research focuses on extremal problems in spaces of analytic functions, as well as spaces of analytic functions and complex analysis in general. I am also interested in operator theory and harmonic analysis.
Subject area: Analysis.
Current Projects: Complex analysis, operator theory, harmonic analysis
