{"title":"On asymptotic and essential Toeplitz and Hankel integral operator","authors":"C. Bellavita, G. Stylogiannis","doi":"arxiv-2409.10014","DOIUrl":null,"url":null,"abstract":"In this article we consider the generalized integral operators acting on the\nHilbert space $H^2$. We characterize when these operators are uniform, strong\nand weakly asymptotic Toeplitz and Hankel operators. Moreover we completely\ndescribe the symbols $g$ for which these operators are essentially Hankel and\nessentially Toeplitz.","PeriodicalId":501114,"journal":{"name":"arXiv - MATH - Operator Algebras","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Operator Algebras","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.10014","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this article we consider the generalized integral operators acting on the
Hilbert space $H^2$. We characterize when these operators are uniform, strong
and weakly asymptotic Toeplitz and Hankel operators. Moreover we completely
describe the symbols $g$ for which these operators are essentially Hankel and
essentially Toeplitz.
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