Moser-type inequalities for generalized Lorentz-Sobolev spaces

Abstract

We give sharp constants concerning exponential and multiple exponential inequalities corresponding to the limiting case of the Sobolev inequalities in generalized Lorentz-Sobolev spaces of arbitrary order.

Keywords

• Lorentz-Sobolev spaces
• higher-order derivatives
• embedding theorems
• sharp constants
• Moser-type inequality