Majorization in de Branges spaces I. Representability of subspaces

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• 作者：Anton Baranov ; Harald Woracek
• 关键词：de Branges subspace ; Majorant ; Beurling– ; Malliavin Theorem
• 刊名：Journal of Functional Analysis
• 出版年：2010
• 出版时间：15 April 2010
• 年：2010
• 卷：258
• 期：8
• 页码：2601-2636
• 全文大小：342 K

文摘

In this series of papers we study subspaces of de Branges spaces of entire functions which are generated by majorization on subsets D of the closed upper half-plane. The present, first, part is addressed to the question which subspaces of a given de Branges space can be represented by means of majorization. Results depend on the set D where majorization is permitted. Significantly different situations are encountered when D is close to the real axis or accumulates to i∞.