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Zeitschrift für Analysis und ihre Anwendungen


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Volume 39, Issue 1, 2020, pp. 27–40
DOI: 10.4171/ZAA/1649

Published online: 2020-01-24

Measures of Non-Compactness and Sobolev–Lorentz Spaces

Ondřej Bouchala[1]

(1) Charles University, Prague, Czechia

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

Bouchala Ondřej: Measures of Non-Compactness and Sobolev–Lorentz Spaces. Z. Anal. Anwend. 39 (2020), 27-40. doi: 10.4171/ZAA/1649