n-th Derivative Hardy Spaces and Weighted Differentiation Composition Operators

IF 1.4 4区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2023-08-17 DOI:10.1007/s40995-023-01503-w

Mostafa Hassanlou, Ebrahim Abbasi, Sepideh Nasresfahani

引用次数: 1

Abstract

In this paper, we generalize the spaces of functions with derivative in a Hardy space to the n-th derivative Hardy spaces which consist of functions with n-th derivative in Hardy space. Then some characterizations are given for boundedness and essential norm of weighted differentiation composition operators from n-th derivative Hardy spaces into m-th weighted type spaces.

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n阶导数Hardy空间与加权微分复合算子

本文将Hardy空间中含导数函数的空间推广到由Hardy空间中含n阶导数函数组成的n阶导数Hardy空间。然后给出了加权微分复合算子从n阶Hardy空间到m阶加权型空间的有界性和本质范数的一些刻画。

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