JournalszaaVol. 39, No. 1pp. 27–40

Measures of Non-Compactness and Sobolev–Lorentz Spaces

  • Ondřej Bouchala

    Charles University, Prague, Czechia
Measures of Non-Compactness and Sobolev–Lorentz Spaces cover

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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.

Cite this article

Ondřej Bouchala, Measures of Non-Compactness and Sobolev–Lorentz Spaces. Z. Anal. Anwend. 39 (2020), no. 1, pp. 27–40

DOI 10.4171/ZAA/1649