The John–Nirenberg Inequality for the Regularized BLO Space on Non-homogeneous Metric Measure Spaces. Issue 3 (10th September 2020)

• Record Type: Journal Article
• Authors: Lin, Haibo; Liu, Zhen; Wang, Chenyan
• Is Part Of: Canadian mathematical bulletin =. Volume 63:Issue 3(2020)
• Page Start: 643
• Page End: 654
• Publication Date: 2020-09-10
• Subjects: 43A99, -- 42B35, -- 28B99; non-homogeneous metric measure space, -- John–Nirenberg inequality, -- the space ˜RBLO(𝜇); Mathematics -- Periodicals; Mathematics; Periodicals; 510.5
• DOI: 10.4153/S0008439519000729
• Languages: English
• ISSNs: 0008-4395

Abstract

Abstract: 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 $\widetilde{\operatorname{RBLO}}(\unicode[STIX]{x1D707})$ .