Weighted Weyl estimates near an elliptic trajectory.

Thierry Paul; Alejandro Uribe

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Displaying similar documents to “Weighted Weyl estimates near an elliptic trajectory.”

Spectral asymptotics for multi-quasi-elliptic operators in $ℝ^{n}$

P. Boggiatto, E. Buzano (1997)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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A maximal function characterization of weighted Besov-Lipschitz and Triebel-Lizorkin spaces.

H.-Q. Bui, M. Paluszyński, M. Taibleson (1996)

Studia Mathematica

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We give characterizations of weighted Besov-Lipschitz and Triebel-Lizorkin spaces with $A_{\infty}$ weights via a smooth kernel which satisfies “minimal” moment and Tauberian conditions. The results are stated in terms of the mixed norm of a certain maximal function of a distribution in these weighted spaces.

Two remarks about spectral asymptotics of pseudodifferential operators

Wojciech Czaja, Ziemowit Rzeszotnik (1999)

Colloquium Mathematicae

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In this paper we show an asymptotic formula for the number of eigenvalues of a pseudodifferential operator. As a corollary we obtain a generalization of the result by Shubin and Tulovskiĭ about the Weyl asymptotic formula. We also consider a version of the Weyl formula for the quasi-classical asymptotics.