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Zeitschrift für Analysis und ihre Anwendungen


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Volume 15, Issue 2, 1996, pp. 299–307
DOI: 10.4171/ZAA/701

Published online: 1996-06-30

On Measures of Non-Compactness in Regular Spaces

N.A. Yerzakova[1]

(1) Khabarovsk Technical University, Khabarowsk, Russian Federation

Previous results on non-compactness obtained in [11–13] are extended to regular spaces of measurable functions, and new criteria for the $\mu$-compactness of sets and operators are proved. An application of the abstract results to elliptic boundary problems is given as well.

Keywords: Regular spaces, measures of non-compactness, measures of non-equibounded ness, Lebesgue spaces, Sobolev spaces, embedding operators, elliptic boundary value problems

Yerzakova N.A.: On Measures of Non-Compactness in Regular Spaces. Z. Anal. Anwend. 15 (1996), 299-307. doi: 10.4171/ZAA/701