Invariant subspaces of the Dirichlet shift.
Invariant subspaces on open Riemann surfaces
Let be a hyperbolic Riemann surface, a harmonic measure supported on the Martin boundary of , and the subalgebra of consisting of the boundary values of bounded analytic functions on . This paper gives a complete classification of the closed -submodules of , (weakly closed, if , when is regular and admits a sufficiently large family of bounded multiplicative analytic functions satisfying an approximation condition. It also gives, as a corollary, a corresponding result for the Hardy...
Invariant subspaces on open Riemann surfaces. II
We considerably improve our earlier results [Ann. Inst. Fourier, 24-4 (1974] concerning Cauchy-Read’s theorems, convergence of Green lines, and the structure of invariant subspaces for a class of hyperbolic Riemann surfaces.
Inversion von Fredholmfunktionen bei stetiger und holomorpher Abhängigkeit von Parametern.
Isomorphismes entre espaces
Iterates and the boundary behavior of the Berezin transform
Let be a measure on a domain in such that the Bergman space of holomorphic functions in possesses a reproducing kernel and . The Berezin transform associated to is the integral...
Joint spectra
Kommutative Banachalgebren und hermitesch-äquivalente Elemente
La conjecture de la couronne en analyse complexe et p-adique
La dualité et ses applications, d’après Ch. Feffermann et E. M. Stein
Large analytic functions III
Las álgebras de Denjoy-Carleman analíticas.
Le dual de l'espace des fonctions holomorphes intégrables dans des domaines de Siegel
Nous répondons à une conjecture de R. Coifman et R. Rochberg : dans le complexifié du cône sphérique de , le dual de la classe de Bergman s’obtient comme projection de Bergman de et coïncide avec la classe de Bloch des fonctions holomorphes. Nous examinons également le cas d’un produit de domaines.
Les algèbres de Krasner-Tate
Les algèbres de Krasner-Tate
Les semi-normes sur les algèbres d'éléments analytiques au sens de Krasner
Limacons, normal operators and polar factorizations.
Linear isometries of finite codimensions on Banach algebras of holomorphic functions.
Linear topological properties of the Lumer-Smirnov class of the polydisc
Linear topological properties of the Lumer-Smirnov class of the unit polydisc are studied. The topological dual and the Fréchet envelope are described. It is proved that has a weak basis but it is nonseparable in its original topology. Moreover, it is shown that the Orlicz-Pettis theorem fails for .
Lipschitz spaces of holomorphic and pluriharmonic functions on bounded symmetric domains in (N>1)