Measures of Non-Compactness and Sobolev-Lorentz Spaces

Abstract

We show that the measure of non-compactness of the limiting embedding of Sobolev-Lorentz spaces is equal to the norm. This is a consequence of our general theorem for arbitrary Banach spaces.

Keywords

• Measure of non-compactness
• Lorentz spaces
• Sobolev spaces
• embeddings