Analysis and Functional Analysis.
Spaces of analytic functions, particularly reproducing kernel Hilbert spaces;
Interplay of function theory and functional analysis;
Composition operators, particularly norm estimates and computations.
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- Extremal non-compactness of composition operators with linear fractional symbol (with E. Basor), Journal of Math. Anal. and Applications, Vol. 322, no. 2
- The Kernel Supremum Property and Norms of Composition Operators,
University, May 2001
- Reproducing Kernels and Norms of Composition Operators (with P. Bourdon),
Acta Sci. Math. (Szeged) 67(2001), 555-562