A NOTE ON GENERALIZED PARAMETRIC MARCINKIEWICZ INTEGRALS

IF 0.5 4区数学 Q3 MATHEMATICS

Bulletin of the Korean Mathematical Society Pub Date : 2019-01-01 DOI:10.4134/BKMS.B180053

Feng Liu

引用次数: 1

Abstract

In the present paper, we establish certain Lp bounds for the generalized parametric Marcinkiewicz integral operators associated to surfaces generated by polynomial compound mappings with rough kernels in Grafakos-Stefanov class Fβ(S). Our main results improve and generalize a result given by Al-Qassem, Cheng and Pan in 2012. As applications, the corresponding results for the generalized parametric Marcinkiewicz integral operators related to the Littlewood-Paley g∗ λfunctions and area integrals are also presented.

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关于广义参数marcinkiewicz积分的注解

本文建立了Grafakos-Stefanov类Fβ(S)中粗糙核多项式复合映射生成曲面的广义参数Marcinkiewicz积分算子的Lp界。我们的主要结果改进和推广了Al-Qassem, Cheng和Pan在2012年给出的结果。作为应用，给出了与Littlewood-Paley g * λ函数和面积积分相关的广义参数Marcinkiewicz积分算子的相应结果。

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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来源期刊

Bulletin of the Korean Mathematical Society 数学-数学

CiteScore

0.80

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).