A Remark on the Boundedness of Calderón–Zygmund Operators in Nony–homogeneous Spaces

被引：4
作者：
Xiao Li Fu
Guo En Hu
Da Chun Yang
机构：
[1] Beijing Normal University,School of Mathematical Sciences
[2] University of Information Engineering,Department of Applied Mathematics
[3] Beijing Normal University,School of Mathematical Sciences
来源：
Acta Mathematica Sinica, English Series | 2007年 / 23卷
关键词：
Calderón–Zygmund operator; Hardy space; (; ); Non–doubling measure; 42B20; 42B30; 42B25; 43A99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let μ be a Radon measure on Rd which may be non–doubling. The only condition satisfied by μ is that μ(B(x, r)) ≤ Crn for all x ∈ ℝd, r > 0 and some fixed 0 < n ≤ d. In this paper, the authors prove that the boundedness from H1(μ) into L1,∞(μ) of a singular integral operator T with Calderón–Zygmund kernel of Hörmander type implies its L2(μ)–boundedness.
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页码：449 / 456
页数：7
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