In this article we establish a Trudinger–Moser inequality of Adachi–Tanaka type in nonradial weighted Sobolev spaces for functions defined on the whole . The main tools are the Besecovitch covering lemma and a Trudinger–Moser inequality on the whole space established by S. Adachi and K. Tanaka.
Cite this article
Francisco S.B. Albuquerque, On a Weighted Adachi–Tanaka Type Trudinger–Moser Inequality in Nonradial Sobolev Spaces. Z. Anal. Anwend. 40 (2021), no. 2, pp. 209–216DOI 10.4171/ZAA/1680