The method of rotation and Marcinkiewicz integrals on product domains

Jiecheng Chen; Dashan Fan; Yiming Ying

doi:10.4064/sm153-1-4

The method of rotation and Marcinkiewicz integrals on product domains

Jiecheng Chen
, Dashan Fan
, Yiming Ying

University at Albany

University at Albany

Zhejiang University
University of Wisconsin-Milwaukee

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

We give some rather weak sufficient condition for L^p boundedness of the Marcinkiewicz integral operator μ_Ω on the product spaces ℝⁿ ℝ ^m (1 < p < ∞), which improves and extends some known results.

Original language	English
Pages (from-to)	41-58
Number of pages	18
Journal	Studia Mathematica
Volume	153
Issue number	1
DOIs	https://doi.org/10.4064/sm153-1-4
State	Published - 2002

Keywords

Marcinkiewicz integral
Product space
Rotation method
Rough kernel

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title = "The method of rotation and Marcinkiewicz integrals on product domains",

abstract = "We give some rather weak sufficient condition for Lp boundedness of the Marcinkiewicz integral operator μΩ on the product spaces ℝn ℝ m (1 < p < ∞), which improves and extends some known results.",

keywords = "Marcinkiewicz integral, Product space, Rotation method, Rough kernel",

author = "Jiecheng Chen and Dashan Fan and Yiming Ying",

year = "2002",

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pages = "41--58",

journal = "Studia Mathematica",

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T1 - The method of rotation and Marcinkiewicz integrals on product domains

AU - Chen, Jiecheng

AU - Fan, Dashan

AU - Ying, Yiming

PY - 2002

Y1 - 2002

N2 - We give some rather weak sufficient condition for Lp boundedness of the Marcinkiewicz integral operator μΩ on the product spaces ℝn ℝ m (1 < p < ∞), which improves and extends some known results.

AB - We give some rather weak sufficient condition for Lp boundedness of the Marcinkiewicz integral operator μΩ on the product spaces ℝn ℝ m (1 < p < ∞), which improves and extends some known results.

KW - Marcinkiewicz integral

KW - Product space

KW - Rotation method

KW - Rough kernel

UR - https://www.scopus.com/pages/publications/0036444304

U2 - 10.4064/sm153-1-4

DO - 10.4064/sm153-1-4

M3 - Article

SN - 0039-3223

VL - 153

SP - 41

EP - 58

JO - Studia Mathematica

JF - Studia Mathematica

IS - 1

ER -

The method of rotation and Marcinkiewicz integrals on product domains

Abstract

Keywords

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