T. Ferguson

collaborators

3 papers

math.CV2017

Uniform Approximation of Extremal Functions in Weighted Bergman Spaces

Timothy Ferguson

We discuss approximation of extremal functions by polynomials in the weighted Bergman spaces $A_{α}^{p}$ where $- 1 < α < 0$ and $- 1 < α < p - 2$ . We obtain bounds on how close the approxim…

math.CV2017

Bounds on the Norm of the Backward Shift and Related Operators in Hardy and Bergman Spaces

Timothy Ferguson

We study bounds for the backward shift operator $f \mapsto (f (z) - f (0)) / z$ and the related operator $f \mapsto f - f (0)$ on Hardy and Bergman spaces of analytic and harmonic functio…

math.CV2015

Extremal Problems in Bergman Spaces and an Extension of Ryabykh's $H^{p}$ Regularity Theorem For $1 < p < \infty$

Timothy Ferguson

We study linear extremal problems in the Bergman space $A^{p}$ of the unit disc, where $1 < p < \infty$ . Given a functional on the dual space of $A^{p}$ with representing kernel $k \in…

Uniform Approximation of Extremal Functions in Weighted Bergman Spaces

Bounds on the Norm of the Backward Shift and Related Operators in Hardy and Bergman Spaces

Extremal Problems in Bergman Spaces and an Extension of Ryabykh's Hp Regularity Theorem For 1<p<∞

Extremal Problems in Bergman Spaces and an Extension of Ryabykh's $H^{p}$ Regularity Theorem For $1 < p < \infty$