## Taiwanese Journal of Mathematics

### SEVERAL ANALYTIC INEQUALITIES IN SOME Q−SPACES

#### Abstract

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

#### Article information

Source
Taiwanese J. Math., Volume 15, Number 5 (2011), 2043-2058.

Dates
First available in Project Euclid: 18 July 2017

https://projecteuclid.org/euclid.twjm/1500406422

Digital Object Identifier
doi:10.11650/twjm/1500406422

Mathematical Reviews number (MathSciNet)
MR2880392

Zentralblatt MATH identifier
1239.42025

#### Citation

Li, Pengtao; Zhai, Zhichun. SEVERAL ANALYTIC INEQUALITIES IN SOME Q−SPACES. Taiwanese J. Math. 15 (2011), no. 5, 2043--2058. doi:10.11650/twjm/1500406422. https://projecteuclid.org/euclid.twjm/1500406422

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