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arXiv · 0904.3768

Several analytic inequalities in some $Q-$spaces

Pengtao Li·Zhichun Zhai
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Abstract

In this paper, we establish separate necessary and sufficient John-Nirenberg (JN) type inequalities for functions in $Q_α^β(\mathbb{R}^{n})$ which imply Gagliardo-Nirenberg (GN) type inequalities in $Q_α(\mathbb{R}^{n}).$ Consequently, we obtain Trudinger-Moser type inequalities and Brezis-Gallouet-Wainger type inequalities in $Q_α(\mathbb{R}^{n}).$

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Pengtao Li, Zhichun Zhai. 2009-11-12. Several analytic inequalities in some $Q-$spaces. https://arxiv.org/abs/0904.3768

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