Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1996-06-30
On Measures of Non-Compactness in Regular SpacesN.A. Yerzakova (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