More on Compactness
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In this chapter we present in Section 9.1 two general compactness results convenient for applications. One is the so-called dominated compactness theorem for integral operators. We give it in a general context of Banach Function Spaces (BFS) in the well-known sense (see Bennett and Sharpley )and recall that L p (.)(Ω) is a BFS, as verified in Edmunds, Lang, and Nekvinda .
KeywordsIntegral Operator Interpolation Theorem Continuous Norm Banach Function Space Associate Space
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