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THE CHARACTERIZATION OF THE REGULARITY OF THE JACOBIAN DETERMINANT IN THE FRAMEWORK OF BESSEL POTENTIAL SPACES ON DOMAINS
Published online by Cambridge University Press: 01 October 1999
Abstract
Let 2 [les ] m [les ] n. The paper gives necessary and sufficient conditions on the parameters s1, s2, …, sm, p1, p2, …, pm such that the Jacobian determinant extends to a bounded operator from [Hscr ]s1p1 × [Hscr ]s2p2 × … × [Hscr ]smpm into [Sscr ]′. Here all spaces are defined on ℝn or on domains Ω⊂ℝn. In almost all cases the regularity of the Jacobian determinant is calculated exactly.
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- The London Mathematical Society 1999
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