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arxiv: 1511.02384 · v1 · pith:PDZFONK4new · submitted 2015-11-07 · 🧮 math.FA

The local sharp maximal function and BMO on locally homogeneous spaces

classification 🧮 math.FA
keywords locallocallyfunctionhomogeneousinequalitymaximalsharpspaces
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We prove a local version of Fefferman-Stein inequality for the local sharp maximal function, and a local version of John-Nirenberg inequality for locally BMO functions, in the framework of locally homogeneous spaces, in the sense of Bramanti-Zhu [Manuscripta Math. 138 (2012), no. 3-4, 477-528].

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