A John-Nirenberg type inequality for \(Q_{\alpha}(\mathbb R^n)\) (Q2518311)
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| Language | Label | Description | Also known as |
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| English | A John-Nirenberg type inequality for \(Q_{\alpha}(\mathbb R^n)\) |
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A John-Nirenberg type inequality for \(Q_{\alpha}(\mathbb R^n)\) (English)
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15 January 2009
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The authors proved separately necessary and sufficient John-Nirenberg type inequalities for functions in the space \(Q_{\alpha}(\mathbb R^n)\) The results established are modified version of the recent conjecture of \textit{M. Essén, S. Janson, L. Peng, J. Xiao}, [Indiana Univ. Math. J. 49, 575--615 (2000; Zbl 0984.46020)]. Furthermore, a counterexample to illustrate that these necessary and sufficient conditions cannot be reconciled was given.
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Q spaces
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BMO
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John-Nirenberg inequality
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Haar functions
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