全纯增生映射的非线性解

IF 1.4 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2025-05-19 DOI:10.1007/s13324-025-01082-6

Mark Elin

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引用次数: 0

摘要

本文给出了复Banach空间开单位球上全纯增生映射及其解的新结果。我们采用统一的方法，通过应用我们已经建立的畸变定理来检验非线性解的各种性质。这种方法使我们能够证明一个覆盖结果，并确定溶剂的活动性以及压缩比的估计。进一步证明了在一定温和条件下，非线性解是指定阶的星形映射。作为一个关键的工具，我们首先引入了一个改进版本的逆函数定理，用于满足所谓的片面估计的映射。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Non-linear resolvents of holomorphically accretive mappings

In this paper, we present new results on holomorphically accretive mappings and their resolvents defined on the open unit ball of a complex Banach space. We employ a unified approach to examine various properties of non-linear resolvents by applying a distortion theorem we have established. This method enables us to prove a covering result and to establish the accretivity of resolvents along with estimates of the squeezing ratio. Furthermore, we prove that under certain mild conditions, a non-linear resolvent is a starlike mapping of a specified order. As a key tool, we first introduce a refined version of the inverse function theorem for mappings satisfying so-called one-sided estimates.

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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.