A Factoring Theorem for The Bergman Space
Copyright policy )A Factoring Theorem for The Bergman Space
The paper under review is a condensed version of the author's previous work [J. Reine Angew. Math. 422, 45-68 (1991; Zbl 0734.30040)], establishing a factorization theory for the Bergman space \(L^ 2_ a(D)\). (This is the standard Bergman space consisting of functions analytic in the unit disk \(D\) and square area-integrable over \(D\).) This shorter version uses as a main tool the fact that the biharmonic Green function is positive. This fact has been the basis for an extension of the author's theory to a general \(L^ p_ a(D)\)-setting, \(0< p<\infty\), due to \textit{P. Duren}, \textit{D. Khavinson}, \textit{H. S. Shapiro} and \textit{C. Sundberg} [Pac. J. Math. 157, 37-56 (1993; Zbl 0782.30027)].
- Uppsala University Sweden
Bergman space, Hilbert spaces of continuous, differentiable or analytic functions, Entire and meromorphic functions of one complex variable, and related topics
Bergman space, Hilbert spaces of continuous, differentiable or analytic functions, Entire and meromorphic functions of one complex variable, and related topics
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