Abstract
We study Bergman space functions that are mean Hölder continuous with respect to the Bergman space norm. In contrast with earlier work, we use the second iterated difference quotient instead of the first. We then give applications to Bergman space extremal problems.
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Partially supported by RGC Grant RGC-2015-22 from the University of Alabama.
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Ferguson, T. Bergman–Hölder Functions, Area Integral Means and Extremal Problems. Integr. Equ. Oper. Theory 87, 545–563 (2017). https://doi.org/10.1007/s00020-017-2366-x
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DOI: https://doi.org/10.1007/s00020-017-2366-x