A note on Marcinkiewicz integrals with H1 Kernels

Han Xu; Jiecheng Chen; Yiming Ying

doi:10.1016/s0252-9602(17)30154-6

A note on Marcinkiewicz integrals with H¹ Kernels

Han Xu
, Jiecheng Chen
, Yiming Ying

University at Albany

University at Albany

Zhejiang Engineering College
Zhejiang University

Research output: Contribution to journal › Review article › peer-review

16 Scopus citations

Abstract

This paper shows that for Ω ∈ H¹(S^n-1), Marcinkiewicz integral operator μΩ is L^p (Rⁿ) bounded for 1 < p < ∞, which improves some known results.

Original language	English
Pages (from-to)	133-138
Number of pages	6
Journal	Acta Mathematica Scientia
Volume	23
Issue number	1
DOIs	https://doi.org/10.1016/s0252-9602(17)30154-6
State	Published - Jan 2003

Keywords

Hardy space
Marcinkiewicz integral
Rotation method

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10.1016/s0252-9602(17)30154-6

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title = "A note on Marcinkiewicz integrals with H1 Kernels",

abstract = "This paper shows that for Ω ∈ H1(Sn-1), Marcinkiewicz integral operator μΩ is Lp (Rn) bounded for 1 < p < ∞, which improves some known results.",

keywords = "Hardy space, Marcinkiewicz integral, Rotation method",

author = "Han Xu and Jiecheng Chen and Yiming Ying",

year = "2003",

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doi = "10.1016/s0252-9602(17)30154-6",

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T1 - A note on Marcinkiewicz integrals with H1 Kernels

AU - Xu, Han

AU - Chen, Jiecheng

AU - Ying, Yiming

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N2 - This paper shows that for Ω ∈ H1(Sn-1), Marcinkiewicz integral operator μΩ is Lp (Rn) bounded for 1 < p < ∞, which improves some known results.

AB - This paper shows that for Ω ∈ H1(Sn-1), Marcinkiewicz integral operator μΩ is Lp (Rn) bounded for 1 < p < ∞, which improves some known results.

KW - Hardy space

KW - Marcinkiewicz integral

KW - Rotation method

UR - https://www.scopus.com/pages/publications/27744450010

U2 - 10.1016/s0252-9602(17)30154-6

DO - 10.1016/s0252-9602(17)30154-6

M3 - Review article

SN - 0252-9602

VL - 23

SP - 133

EP - 138

JO - Acta Mathematica Scientia

JF - Acta Mathematica Scientia

IS - 1

ER -

A note on Marcinkiewicz integrals with H¹ Kernels

Abstract

Keywords

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