A NEW CHARACTERIZATION OF REGULARIZED BMO SPACES ON NON-HOMOGENEOUS SPACES AND ITS APPLICATIONS
A NEW CHARACTERIZATION OF REGULARIZED BMO SPACES ON NON-HOMOGENEOUS SPACES AND ITS APPLICATIONS
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DOI：
10.5186/aasfm.2013.3809
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发表时间：
2013-02
期刊：
影响因子：
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通讯作者：
G. Hu;Y. Meng;Dachun Yang
中科院分区：
文献类型：
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作者：
G. Hu;Y. Meng;Dachun Yang
设（X;d;”）是度量测度空间，满足所谓的上加倍条件和几何加倍条件.在这一假设下，本文建立了RBMO（“）空间的一个新的刻画.作为应用，证明了Calderon-Zygmund算子在p2（1;1）下的Lp（“）-有界性等价于它的各种端点估计.
Let (X;d;") be a metric measure space and satisfy the so-called upper doubling condition and the geometrically doubling condition. Under this assumption, in this paper, the authors establish a new characterization of the space RBMO("). As applications, the authors prove that the L p (")-boundedness with p 2 (1;1) of the Calderon-Zygmund operator is equivalent to its various endpoint estimates.