Article dans une revue
Titre :
Compactness of the ∂¯‐Neumann operator on uniformly q ‐convex intersections in ℂ^n
Auteurs :
Shaban Khidr, Salomon Sambou
Résumé :
Compactness of the ∂¯‐Neumann operator Ns on uniformly q‐convex intersection in ℂ^n is established. In fact, we prove the significantly stronger fact that the ∂¯ ‐Neumann operator satisfies a subelliptic gain of one half derivative in the L²‐Sobolev spaces, so that compactness of Ns follows immediately from Rellich's lemma. Applications for the Fredholm theory of Toeplitz operators are also provided
Journal :
Mathematical Methods in the Applied Sciences
Volume :
45
Issue :
14
Pages ou Numéro article :
7303
Année :
2021
DOI :
10.1002/mma.7303
Date de publication :
07 March 2021
Lien de la publication :
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