Remarks on the fractional Moser-Trudinger inequality
The author studies fractional Sobolev spaces. Precisely, extensions of the fractional Moser-Trudinger inequality to domains in $\mathbb R^n$ having infinite measure are considered. By removing some terms of the Taylor series expansion of the exponential function the sharpness of the requested inequality is obtained. Moreover, the author obtains some Adachi-Tanaka type inequalities in the non-local setting.
scientific article; zbMATH DE number 7637562
scientific article