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On a Weighted Adachi–Tanaka Type Trudinger–Moser Inequality in Nonradial Sobolev Spaces
Zeitschrift für Analysis und ihre Anwendungen ( IF 0.7 ) Pub Date : 2021-03-30 , DOI: 10.4171/zaa/1680
Francisco Albuquerque 1
Affiliation  

In this article we establish a Trudinger–Moser inequality of Adachi–Tanaka type in nonradial weighted Sobolev spaces for functions defined on the whole $\mathbb{R}^{N}$. The main tools are the Besecovitch covering lemma and a Trudinger–Moser inequality on the whole space established by S. Adachi and K. Tanaka.

中文翻译:

非径向Sobolev空间中的加权Adachi–Tanaka型Trudinger-Moser不等式

在本文中,我们针对在整个$ \ mathbb {R} ^ {N} $上定义的函数,在非径向加权Sobolev空间中建立了Adachi-Tanaka类型的Trudinger-Moser不等式。主要工具是Besecovitch覆盖引理和S. Adachi和K. Tanaka建立的整个空间上的Trudinger-Moser不等式。
更新日期:2021-03-31
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