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Weakly invertible elements of weighted L-p-spaces of holomorphic functions

机译:全纯函数加权L-p-空间的弱可逆元素

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摘要

The description of weakly invertible elements of particular function spaces is closely related to a broad range of (sometimes central) problems in several areas, from differential operators and their generalizations to abstract harmonic analysis [1], [2]. In the one-dimensional case the investigation of weakly invertible elements was initiated by Keldysh [3] and has been continued by many authors; see [4]–[9] for details. In the multidimensional case the weak invertibility of bounded analytic functions was considered in [9] for anisotropic weighted function spaces on a polydisc.
机译:从微分算子及其推广到抽象谐波分析[1],[2],特定函数空间的弱可逆元素的描述与多个领域中的广泛问题(有时是中心问题)密切相关。在一维情况下,由Keldysh [3]发起了对弱可逆元素的研究,并已由许多作者继续进行。有关详细信息,请参见[4] – [9]。在多维情况下,多碟片上各向异性加权函数空间在[9]中考虑了有限解析函数的弱可逆性。

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