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Lattice-valued Borel measures. III.

Surjit Singh Khurana (2008)

Archivum Mathematicum

Let X be a completely regular T 1 space, E a boundedly complete vector lattice, C ( X ) ( C b ( X ...

Layer potentials C*-algebras of domains with conical points

Catarina Carvalho, Yu Qiao (2013)

Open Mathematics

To a domain with conical points Ω, we associate a natural C*-algebra that is motivated by the study of boundary value problems on Ω, especially using the method of layer potentials. In two dimensions, we allow Ω to be a domain with ramified cracks. We construct an explicit groupoid associated to ∂Ω and use the theory of pseudodifferential operators on groupoids and its representations to obtain our layer potentials C*-algebra. We study its structure, compute the associated K-groups, and prove Fredholm...

Le dual de l'espace des fonctions holomorphes intégrables dans des domaines de Siegel

David Bekolle (1984)

Annales de l'institut Fourier

Nous répondons à une conjecture de R. Coifman et R. Rochberg : dans le complexifié du cône sphérique de R n + 1 , le dual de la classe de Bergman A 1 s’obtient comme projection de Bergman de L et coïncide avec la classe de Bloch des fonctions holomorphes. Nous examinons également le cas d’un produit de domaines.

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