Geodesic
On Bojarski’s index formula for nonsmooth interfaces
Mitrea, Marius1
1 Department of Mathematics, University of Missouri-Columbia, Columbia, MO 65211
Electronic research announcements of the American Mathematical Society, Tome 05 (1999), pp. 40-46 Cet article a éte moissonné depuis la source American Mathematical Society

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Let $D$ be a Dirac type operator on a compact manifold ${\mathcal {M}}$ and let $\Sigma$ be a Lipschitz submanifold of codimension one partitioning ${\mathcal {M}}$ into two Lipschitz domains $\Omega _{\pm }$. Also, let ${\mathcal {H}}^{p}_{\pm }(\Sigma ,D)$ be the traces on $\Sigma$ of the ($L^{p}$-style) Hardy spaces associated with $D$ in $\Omega _{\pm }$. Then $({\mathcal {H}}^{p}_{-}(\Sigma ,D),{\mathcal {H}}^{p}_{+}(\Sigma ,D))$ is a Fredholm pair of subspaces for $L^{p}(\Sigma )$ (in Kato’s sense) whose index is the same as the index of the Dirac operator $D$ considered on the whole manifold ${\mathcal {M}}$.
DOI : 10.1090/S1079-6762-99-00060-8

Mitrea, Marius 1

1 Department of Mathematics, University of Missouri-Columbia, Columbia, MO 65211 
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Mitrea, Marius. On Bojarski’s index formula for nonsmooth interfaces. Electronic research announcements of the American Mathematical Society, Tome 05 (1999), pp. 40-46. doi: 10.1090/S1079-6762-99-00060-8

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