Function spaces and spectra of elliptic operators on a class of hyperbolic manifolds

Hans Triebel

Displaying similar documents to “Function spaces and spectra of elliptic operators on a class of hyperbolic manifolds”

On a class of weighted function spaces and related pseudodifferential operators

Hans Triebel (1988)

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Spectral analysis of non-compact manifolds using commutator methods

P. D. Hislop (1987-1988)

Séminaire Équations aux dérivées partielles (Polytechnique)

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Weak Bloch property and weight estimates for elliptic operators

M. A. Shubin (1989-1990)

Séminaire Équations aux dérivées partielles (Polytechnique)

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E. Sawyer (1990)

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On the differential form spectrum of hyperbolic manifolds

Gilles Carron, Emmanuel Pedon (2004)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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We give a lower bound for the bottom of the $L^{2}$ differential form spectrum on hyperbolic manifolds, generalizing thus a well-known result due to Sullivan and Corlette in the function case. Our method is based on the study of the resolvent associated with the Hodge-de Rham laplacian and leads to applications for the (co)homology and topology of certain classes of hyperbolic manifolds.

Intrinsic characterizations of distribution spaces on domains

V. Rychkov (1998)

Studia Mathematica

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We give characterizations of Besov and Triebel-Lizorkin spaces $B_{p q}^{s} (Ω)$ and $F_{p q}^{s} (Ω)$ in smooth domains $Ω \subset ℝ^{n}$ via convolutions with compactly supported smooth kernels satisfying some moment conditions. The results for s ∈ ℝ, 0 < p,q ≤ ∞ are stated in terms of the mixed norm of a certain maximal function of a distribution. For s ∈ ℝ, 1 ≤ p ≤ ∞, 0 < q ≤ ∞ characterizations without use of maximal functions are also obtained.

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Atsushi Kasue (1988)

Annales scientifiques de l'École Normale Supérieure

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Linear extension operators for restrictions of function spaces to irregular open sets

V. Rychkov (2000)

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