Hardy空间到n个加权型空间的乘积型算子

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2021-07-15 DOI:10.1155/2021/5556275

Ebrahim Abbasi

{"title":"Hardy空间到n个加权型空间的乘积型算子","authors":"Ebrahim Abbasi","doi":"10.1155/2021/5556275","DOIUrl":null,"url":null,"abstract":"The main goal of this paper is to investigate the boundedness and essential norm of a class of product-type operators \n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M2\">\n <mfenced open=\"(\" close=\")\">\n <mrow>\n <msubsup>\n <mrow>\n <mi>T</mi>\n </mrow>\n <mrow>\n <mi>u</mi>\n <mo>,</mo>\n <mi>v</mi>\n <mo>,</mo>\n <mi>φ</mi>\n </mrow>\n <mrow>\n <mi>m</mi>\n </mrow>\n </msubsup>\n <mo>,</mo>\n <mi>m</mi>\n <mo>∈</mo>\n <mi>ℕ</mi>\n </mrow>\n </mfenced>\n </math>\n from Hardy spaces into \n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M3\">\n <mi>n</mi>\n </math>\n th weighted-type spaces. As a corollary, we obtain some equivalent conditions for compactness of such operators.","PeriodicalId":7061,"journal":{"name":"Abstract and Applied Analysis","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"The Product-Type Operators from Hardy Spaces into \\n n\\n th Weighted-Type Spaces\",\"authors\":\"Ebrahim Abbasi\",\"doi\":\"10.1155/2021/5556275\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The main goal of this paper is to investigate the boundedness and essential norm of a class of product-type operators \\n <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\" id=\\\"M2\\\">\\n <mfenced open=\\\"(\\\" close=\\\")\\\">\\n <mrow>\\n <msubsup>\\n <mrow>\\n <mi>T</mi>\\n </mrow>\\n <mrow>\\n <mi>u</mi>\\n <mo>,</mo>\\n <mi>v</mi>\\n <mo>,</mo>\\n <mi>φ</mi>\\n </mrow>\\n <mrow>\\n <mi>m</mi>\\n </mrow>\\n </msubsup>\\n <mo>,</mo>\\n <mi>m</mi>\\n <mo>∈</mo>\\n <mi>ℕ</mi>\\n </mrow>\\n </mfenced>\\n </math>\\n from Hardy spaces into \\n <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\" id=\\\"M3\\\">\\n <mi>n</mi>\\n </math>\\n th weighted-type spaces. As a corollary, we obtain some equivalent conditions for compactness of such operators.\",\"PeriodicalId\":7061,\"journal\":{\"name\":\"Abstract and Applied Analysis\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-07-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Abstract and Applied Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1155/2021/5556275\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Abstract and Applied Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/2021/5556275","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 3

摘要

本文的主要目的是研究一类乘积型算子T u的有界性和本质范数，v，φm，m∈ℕ 从Hardy空间到第n个加权类型空间。作为推论，我们得到了这类算子的紧致性的一些等价条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

The Product-Type Operators from Hardy Spaces into n th Weighted-Type Spaces

The main goal of this paper is to investigate the boundedness and essential norm of a class of product-type operators

(T_{u, v, φ}^{m}, m \in ℕ)

from Hardy spaces into

n

th weighted-type spaces. As a corollary, we obtain some equivalent conditions for compactness of such operators.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.