John-Nirenberg lemmas for a doubling measure
classification
🧮 math.FA
math.MG
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doublingjohn-nirenbergmeasuremetricspacescalderon-zygmundclasscontext
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We study, in the context of doubling metric measure spaces, a class of BMO type functions defined by John and Nirenberg. In particular, we present a new version of the Calderon-Zygmund decomposition in metric spaces and use it to prove the corresponding John-Nirenberg inequality.
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