The John - Nirenberg type inequality for non - doubling measures
نویسندگان
چکیده
X. Tolsa defined the space of type BMO for a positive Radon measure satisfying some growth condition on R. This space is very suitable for the CalderónZygmund theory with non-doubling measures. Especially, the John-Nirenberg type inequality remains true. In this paper we introduce the localized and weighted version of this inequality and, as an application, we obtain some vector-valued inequalities.
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