Location
Crow 204
Start Date
7-21-2016 3:00 PM
End Date
21-7-2016 3:20 PM
Description
I will discuss mean H\"{o}lder continuity conditions for functions in Bergman spaces and the relation of these conditions with the growth of area integral means of derivatives of analytic functions. I will also discuss a result about mean Holder continuity of solutions of certain linear extremal problems in Bergman spaces that is similar to a result of Khavinson, McCarthy, and Shapiro (but with improved Holder exponent for $1 < p < 2$). I will indicated some applications of this result.
Mean Holder Continuity, Area Integral Means and Extremal Problems
Crow 204
I will discuss mean H\"{o}lder continuity conditions for functions in Bergman spaces and the relation of these conditions with the growth of area integral means of derivatives of analytic functions. I will also discuss a result about mean Holder continuity of solutions of certain linear extremal problems in Bergman spaces that is similar to a result of Khavinson, McCarthy, and Shapiro (but with improved Holder exponent for $1 < p < 2$). I will indicated some applications of this result.