T. Ferguson

activity

20152024

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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…