Local hardy and BMO spaces on non-homogeneous spaces
نویسندگان
چکیده
منابع مشابه
Commutators of the Hardy-Littlewood Maximal Operator with BMO Symbols on Spaces of Homogeneous Type
Weighted L for p ∈ 1,∞ and weak-type endpoint estimates with general weights are established for commutators of the Hardy-Littlewood maximal operator with BMO symbols on spaces of homogeneous type. As an application, a weighted weak-type endpoint estimate is proved for maximal operators associated with commutators of singular integral operators with BMO symbols on spaces of homogeneous type. Al...
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15 صفحه اولHardy and BMO spaces associated to divergence form elliptic operators
Consider a second order divergence form elliptic operator L with complex bounded coefficients. In general, operators related to it (such as the Riesz transform or square function) lie beyond the scope of the Calderón-Zygmund theory. They need not be bounded in the classical Hardy, BMO and even some Lp spaces. In this work we develop a theory of Hardy and BMO spaces associated to L, which includ...
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In the general setting of a space of homogeneous type endowed with an Ahlfors regular measure, we introduce the Banach spaces BMO and V MO defined through suitable cubes, and we prove that these spaces are topologically equivalent to the standard ones usually defined by means of balls. Through this fact we extend a known result of Sarason showing that C∞ is locally dense in V MO in the setting ...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 2005
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788700010430