Scholarlink

<p>The paper continues the study of one-dimensional integral operators of Hausdorff type on the interval <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\((-1,1)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mo>-</mo> <mn>1</mn> <mo>,</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>, which arose from the theory of some classical integral equations. Boundedness in weighted Lebesgue spaces is studied, and the question of approximations by such operators is also considered.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

A CLASS OF ONE-DIMENSIONAL VARIABLE HAUSDORFF-TYPE OPERATORS

  • 期刊论文

  • 发表日期：

    2025年5月10日

查看全文
  • E. D. Danelyan,
  • S. S. Irtakov

摘要

The paper continues the study of one-dimensional integral operators of Hausdorff type on the interval \((-1,1)\) ( - 1 , 1 ) , which arose from the theory of some classical integral equations. Boundedness in weighted Lebesgue spaces is studied, and the question of approximations by such operators is also considered.