Let $({\mathcal{X}},d,\unicode[STIX]{x1D707})$ be a metric measure space satisfying the geometrically doubling condition and the upper doubling condition. In this paper, the authors establish the John-Nirenberg inequality for the regularized BLO space $\widetilde{\operatorname{RBLO}}(\unicode[STIX]{x1D707})$ .

中文翻译：

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非齐次度量空间上正则化BLO空间的John-Nirenberg不等式

令 $（{\ mathcal {X}}，d，\ unicode [STIX] {x1D707}）$ 为满足几何加倍条件和上加倍条件的度量尺度空间。在本文中，作者建立了正规化BLO空间 $ \ widetilde {\ operatorname {RBLO}}（\ unicode [STIX] {x1D707}）$ 的John-Nirenberg不等式。