核为块空间函数的多重Marcinkiewicz积分

伍火熊

数学学报 ›› 2005, Vol. 48 ›› Issue (6)

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PDF(423 KB)
数学学报 ›› 2005, Vol. 48 ›› Issue (6) DOI: 10.12386/A2005sxxb0131
论文

核为块空间函数的多重Marcinkiewicz积分

    伍火熊
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On Multiple Marcinkiewicz Integrals Related to Block Spaces

    Huo Xiang WU
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摘要

本文研究乘积空间上一类沿多项式曲线的Marcinkiewicz积分算子,在核为某些块空间函数条件下建立了这些算子的L~p有界性,1

Abstract

This paper is devoted to the study of multiple Marcinkiewicz integrals along polynomial curves with kernels belonging to certain block spaces. It is showed that the multiple Marcinkiewicz integral operator is bounded on L~p for some 1

关键词

Fourier变换估计 / 多重Marcinkiewicz积分 / 块空间

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伍火熊. 核为块空间函数的多重Marcinkiewicz积分. 数学学报, 2005, 48(6) https://doi.org/10.12386/A2005sxxb0131
Huo Xiang WU. On Multiple Marcinkiewicz Integrals Related to Block Spaces. Acta Mathematica Sinica, Chinese Series, 2005, 48(6) https://doi.org/10.12386/A2005sxxb0131
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