Volterra Type Operator from Cauchy Transform Space into Weighted Zygmund Space

IF 1.4 4区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2025-04-21 DOI:10.1007/s40995-025-01792-3

Ebrahim Abbasi, Mostafa Hassanlou, Daryoush Molaei

引用次数: 0

Abstract

Let \(g\in H(\mathbb {D})\), the Volterra type operator \(J_g\) is defined by \(\begin{aligned} (J_g f)(z) = \int _0^z f(\xi ) g'(\xi ) d \xi , \ \ \ f\in H(\mathbb {D}), z\in \mathbb {D}. \end{aligned}\)In this paper, some properties of Volterra type operator \(J_g\) from Cauchy transform space into weighted Zygmund space will be investigated.

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Cauchy变换空间到加权Zygmund空间的Volterra型算子

令\(g\in H(\mathbb {D})\)， Volterra型算子\(J_g\)由\(\begin{aligned} (J_g f)(z) = \int _0^z f(\xi ) g'(\xi ) d \xi , \ \ \ f\in H(\mathbb {D}), z\in \mathbb {D}. \end{aligned}\)定义。本文研究了Volterra型算子\(J_g\)从Cauchy变换空间到加权Zygmund空间的一些性质。

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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来源期刊

Iranian Journal of Science and Technology, Transactions A: Science MULTIDISCIPLINARY SCIENCES-

CiteScore

4.00

自引率

5.90%

发文量

122

审稿时长

>12 weeks

期刊介绍： The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences