Bmo on Spaces of Homogeneous Type: a Density Result on C-c Spaces
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چکیده
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 of Carnot–Carathéodory metric spaces related to a family of free Hörmander vector fields X1, . . . , Xq.
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تاریخ انتشار 2007