一类奇异的双线性最大函数

IF 1.7 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2024-07-04 DOI:10.1016/j.jfa.2024.110572

引用次数: 0

摘要

为某些奇异最大双线性算子建立了勒贝格空间边界 Lp1(R1)×Lp2(R1)→Lq(R1) 。证明结合了单尺度三线性平滑不等式和卡尔德龙-齐格蒙理论。

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A class of singular bilinear maximal functions

Lebesgue space bounds $L^{p_{1}} (R^{1}) \times L^{p_{2}} (R^{1}) \to L^{q} (R^{1})$ are established for certain singular maximal bilinear operators. The proof combines a single scale trilinear smoothing inequality with Calderón-Zygmund theory.

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来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis