Hostname: page-component-84b7d79bbc-c654p Total loading time: 0 Render date: 2024-07-25T20:44:29.920Z Has data issue: false hasContentIssue false
  • English
  • Français

On the equivalence of weighted inequalities for a class of operators

Published online by Cambridge University Press:  26 September 2011

Dah-Chin Luor
Dah-Chin Luor
Affiliation:
Department of Applied Mathematics, I-Shou University, Dashu District, Kaohsiung City 84001, Taiwan, Republic of China (dclour@isu.edu.tw)
Get access Rights & Permissions [Opens in a new window]

Abstract

A characterization is obtained on weight function u so that is bounded for 1 < p < ∞ and 0 < q < ∞, where T are integral operators and related maximal operators, and for 0 < p, q < ∞, where T are geometric mean operators and related geometric maximal operators. The equivalence of such weighted inequalities for these operators are established.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 141 , Issue 5 , October 2011 , pp. 1071 - 1081
Copyright
Copyright © Royal Society of Edinburgh 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)