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تسجيل مستخدم جديدA characterization of BMO self-maps of a metric measure space
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This paper studies functions of bounded mean oscillation (BMO) on metric spaces equipped with a doubling measure. The main result gives characterizations for mappings that preserve BMO. This extends the corresponding Euclidean results by Gotoh to metric measure spaces. The argument is based on a generalizations Uchiyamas construction of certain extremal BMO-functions and John-Nirenbergs lemma.
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