On a theorem of K. Maurin

W. Donoghue

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On Morrey-Besov inequalities

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On the canonical extensions for distributions in the space $B_{p, μ}$

Mitsuyuki Itano (1984)

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Projections onto gradient fields and $L^{p}$ -estimates for degenerated elliptic operators

Tadeusz Iwaniec (1983)

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Theory of Bessel potentials. III : potentials on regular manifolds

Robert Adams, Nachman Aronszajn, M. S. Hanna (1969)

Annales de l'institut Fourier

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In this paper Bessel potentials on $C^{\infty}$ -Riemannian manifolds (open or bordered) are studied. Let $M$ be an $n$ -dimensional manifold, and $N$ a submanifold of $M$ of dimension $k$ . Sufficient conditions are given for: 1) the restriction to $N$ of any potential of order $α$ on $M$ to be a potential of order $α - \frac{n - k}{2}$ on $N$ ; 2) any potential of order $α - \frac{n - k}{2}$ on $N$ to be extendable to a potential of order $α$ on $M$ . It is also proved that for a bordered manifold $M$ the restriction to its interior $M^{i}$ is an isometric isomorphism...