Estimates of Marcinkiewicz Integrals with Bounded Homogeneous Kernels of Degree Zero期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Estimates of Marcinkiewicz Integrals with Bounded Homogeneous Kernels of Degree Zero

Authors:	Jaesung?Lee author-information" > author-information__contact u-icon-before" > mailto:jalee@sogang.ac.kr" title=" jalee@sogang.ac.kr" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Kyung Soo?Rim

Affiliation:	(1) Department of Mathematics, Sogang University, Seoul, 121-742, Korea;(2) UDIP Lab Corp., Bangwoo B/D 4FL 636-2 Shinsa Kangnam, 135-896 Seoul, Korea

Abstract:	Under the cancellation property and a certain Dini-type conditionon kernels, we prove that Marcinkiewicz integrals with kernels which are homogeneousfunctions of degree zero, are bounded from $H^1 (mathbb{R}^n)$ to $L^1 (mathbb{R}^n)$ ,from $L^infty (mathbb{R}^n)$ to $BMO (mathbb{R}^n)$ , and from $L^p (mathbb{R}^n)$ to $L^p (mathbb{R}^n)$ for .

Keywords:	Primary: 42B20 Secondary: 47B38
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