On a class of nuclear spaces - I
Page 1 Next
Köthe, Gottfried (1982)
Portugaliae mathematica
Erhard Behrends, Susanne Dierolf, Peter Harmand (1986)
Mathematische Annalen
K. John, V. Zizler (1979)
Mathematische Annalen
M. Jasiczak (2005)
Studia Mathematica
It is shown that on strongly pseudoconvex domains the Bergman projection maps a space of functions growing near the boundary like some power of the Bergman distance from a fixed point into a space of functions which can be estimated by the consecutive power of the Bergman distance. This property has a local character. Let Ω be a bounded, pseudoconvex set with C³ boundary. We show that if the Bergman projection is continuous on a space defined by weighted-sup seminorms and equipped with the topology...
Joiţa, M. (2005)
Acta Mathematica Universitatis Comenianae. New Series
A. Aytuna, T. Terzioğlu (1981)
Studia Mathematica
Susane Dierolf, Phillip Kuss (2008)
RACSAM
G. Metafune, V. B. Moscatelli (1991)
Revista Matemática de la Universidad Complutense de Madrid
We give some general exact sequences for quojections from which many interesting representation results for standard twisted quojections can be deduced. Then the methods are also generalized to the case of nuclear Fréchet spaces.
W. Gejler (1978)
Studia Mathematica
Marilda A. Simoes (1985)
Collectanea Mathematica
M. Jasiczak (2003)
Studia Mathematica
We define locally convex spaces LW and HW consisting of measurable and holomorphic functions in the unit ball, respectively, with the topology given by a family of weighted-sup seminorms. We prove that the Bergman projection is a continuous map from LW onto HW. These are the smallest spaces having this property. We investigate the topological and algebraic properties of HW.
Mário C. Matos (1978)
Mathematische Zeitschrift
M. I. Ostrovskii (1998)
Revista Matemática Complutense
The paper is devoted to the class of Fréchet spaces which are called prequojections. This class appeared in a natural way in the structure theory of Fréchet spaces. The structure of prequojections was studied by G. Metafune and V. B. Moscatelli, who also gave a survey of the subject. Answering a question of these authors we show that their result on duals of prequojections cannot be generalized from the separable case to the case of spaces of arbitrary cardinality. We also introduce a special class...
Piotr Mikusiński (1983)
Czechoslovak Mathematical Journal
Carlos Bosch, Jan Kučera (1995)
Czechoslovak Mathematical Journal
García, Armando (2003)
International Journal of Mathematics and Mathematical Sciences
Jairo A. Charris, Ruth S. Huerfano (1988)
Revista colombiana de matematicas
Kamil John (1981)
Mathematische Annalen
J.M.F. Castillo (1988)
Monatshefte für Mathematik
J.M. Garcia-Lafuente (1987)
Monatshefte für Mathematik
Page 1 Next