On Gagliardo-Nirenberg type inequalities in Fourier-Herz spaces
On Gagliardo-Nirenberg type inequalities in Fourier-Herz spaces
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关于 Fourier-Herz 空间中的 Gagliardo-Nirenberg 型不等式
DOI：
10.1016/j.jfa.2018.06.001
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发表时间：
2018
影响因子：
1.7
通讯作者：
Noboru Chikami
中科院分区：
文献类型：
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作者：
Azela Gladya;Manami Tanaka,;Catharina Sagita Moniaga;Masato Yasui、Mariko Hara-Chikuma;Catharina Sagita Moniaga;Catharina Sagita Moniaga;Catharina Sagita Moniaga;Chikami Noboru;Noboru Chikami and Takayuki Kobayashi;Noboru Chikami
在Hat-Sobolev空间中证明了Gagliardo-Nirenberg不等式的一个变形，改进了某些经典Sobolev嵌入.作为应用，建立了不可压缩Navier-Stokes系统的一些连续性准则。在端点Besov空间中给出了分数阶Gagliardo-Nirenberg不等式的一个直接证明，作为推论，在Fourier-Herz空间中建立了相应的证明.
A variant of the Gagliardo–Nirenberg inequality in Hat–Sobolev spaces is proved, which improves certain classes of classical Sobolev embeddings. Some continuation criterion for the incompressible Navier–Stokes system is established as an application. A direct proof of the fractional Gagliardo–Nirenberg inequality in end-point Besov spaces is given and as a corollary, its counterpart in Fourier–Herz spaces is established.