Solution of Extremal Problems in Bergman Spaces Using the Bergman Projection

Author:

Ferguson Timothy

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Analysis

Reference28 articles.

1. Aharonov, D., Bénéteau, C., Khavinson, D., Shapiro, H.: Extremal problems for nonvanishing functions in Bergman spaces, Selected topics in complex analysis. Operator Theory: Advances and Applications, vol. 158, pp. 59–86. Birkhäuser, Basel (2005). MR 2147588 (2006i:30047)

2. Bénéteau, C., Khavinson, D.: A survey of linear extremal problems in analytic function spaces. In: Complex analysis and Potential Theory, CRM Proc. Lecture Notes, vol. 55, pp. 33–46. American Mathematical Society, Providence, RI (2012). MR 2986891

3. Conway, J.B.: A Course in Functional Analysis, 2nd edn. Graduate Texts in Mathematics, vol. 96, Springer, New York (1990). MR 1070713 (91e:46001)

4. Duren, P., Khavinson, D., Shapiro, H.S., Sundberg, C.: Invariant subspaces in Bergman spaces and the biharmonic equation. Mich. Math. J. 41(2), 247–259 (1994). MR 1278431 (95e:46030)

5. Duren, P., Khavinson, D., Shapiro, H.S.: Extremal functions in invariant subspaces of Bergman spaces. Ill. J. Math. 40(2), 202–210 (1996). MR 1398090 (97h:30069)

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