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The John–Nirenberg Inequality for the Regularized BLO Space on Non-homogeneous Metric Measure Spaces

Part of: Abstract harmonic analysis Harmonic analysis in several variables Set functions, measures and integrals with values in abstract spaces

Published online by Cambridge University Press:  10 December 2019

Haibo Lin ,
Zhen Liu  and
Chenyan Wang
Haibo Lin
Affiliation:
College of Science, China Agricultural University, Beijing100083, People’s Republic of China Email: haibolincau@126.comzhenliucau@163.comchenyanwangcau@126.com
Zhen Liu
Affiliation:
College of Science, China Agricultural University, Beijing100083, People’s Republic of China Email: haibolincau@126.comzhenliucau@163.comchenyanwangcau@126.com
Chenyan Wang
Affiliation:
College of Science, China Agricultural University, Beijing100083, People’s Republic of China Email: haibolincau@126.comzhenliucau@163.comchenyanwangcau@126.com
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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 $\widetilde{\operatorname{RBLO}}(\unicode[STIX]{x1D707})$.

Keywords

non-homogeneous metric measure spaceJohn–Nirenberg inequalitythe space ˜RBLO(𝜇)

MSC classification

Primary: 43A99: None of the above, but in this section
Secondary: 42B35: Function spaces arising in harmonic analysis 28B99: None of the above, but in this section
Type
Article
Information
Canadian Mathematical Bulletin , Volume 63 , Issue 3 , September 2020 , pp. 643 - 654
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Copyright
© Canadian Mathematical Society 2019

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Footnotes

Z. L. is the corresponding author. This work is supported by the National Natural Science Foundation of China (Grant Nos. 11471042).

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