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通过奇异积分的 Dunkl 设置中的加权双线性乘数定理

IF 1 3区 数学 Q1 MATHEMATICS
Forum Mathematicum Pub Date : 2024-04-23 DOI:10.1515/forum-2023-0398
Suman Mukherjee, Sanjay Parui
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引用次数: 0

摘要

本文的目的是提出在 Dunkl 设置中具有多个 Muckenhoupt 权重的双线性乘法算子的一权和二权不等式。为此，本文还证明了有关 Littlewood-Paley 型定理和 Dunkl 环境下多线性 Calderón-Zygmund 算子的加权不等式的新结果。
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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Weighted bilinear multiplier theorems in Dunkl setting via singular integrals
The purpose of this article is to present one and two-weight inequalities for bilinear multiplier operators in Dunkl setting with multiple Muckenhoupt weights. In order to do so, new results regarding Littlewood–Paley type theorems and weighted inequalities for multilinear Calderón–Zygmund operators in Dunkl setting are also proved.
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来源期刊
Forum Mathematicum
Forum Mathematicum 数学-数学
CiteScore
1.60
自引率
0.00%
发文量
78
审稿时长
6-12 weeks
期刊介绍： Forum Mathematicum is a general mathematics journal, which is devoted to the publication of research articles in all fields of pure and applied mathematics, including mathematical physics. Forum Mathematicum belongs to the top 50 journals in pure and applied mathematics, as measured by citation impact.
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