Results 11 to 20 of about 6,643 (270)

Stein spaces characterized by their endomorphisms [PDF]

open access: yesTransactions of the American Mathematical Society, 2010
Finite-dimensional Stein spaces admitting a proper holomorphic embedding of the complex line are characterized, among all complex spaces, by their holomorphic endomorphism semigroup in the sense that any semigroup isomorphism induces either a biholomorphic or an antibiholomorphic map between them.
Rafael Andrist
openaire   +6 more sources

Behnke-Stein Theorem for Analytic Spaces [PDF]

open access: yesTransactions of the American Mathematical Society, 1974
The notion of q q -Runge pair is extended to reduced complex analytic spaces.
Alessandro Silva
core   +6 more sources

Stein spaces and Stein algebras [PDF]

open access: yesBulletin of the Polish Academy of Sciences. Mathematics
We prove that the category of Stein spaces and holomorphic maps is anti-equivalent to the category of Stein algebras and C-algebra morphisms. This removes a finite-dimensionality hypothesis from a theorem of Forster.
Benoist, Olivier
openaire   +3 more sources

An embedding theorem for Campanato spaces [PDF]

open access: yesElectronic Journal of Differential Equations, 2002
The purpose of this paper is to give a Sobolev type embedding theorem for the spaces $mathcal{L}_{p,q}^{lambda,s}(mathbb{R}^{n})$. The homogeneous versions of these spaces contain well known spaces such as the Bounded Mean Oscillation spaces (BMO) and ...
Azzeddine El Baraka
doaj   +3 more sources

On harmonic and 2-stein spaces of Iwasawa type [PDF]

open access: yesDifferential Geometry and its Applications, 2003
A Riemannian manifold \(M\) is called harmonic if its small geodesic spheres have constant mean curvature. Clearly, two-point homogeneous spaces are harmonic. The Lichnerowicz conjecture, stating that the converse is also true, remained an open problem for quite a long time, until \textit{E. Darmek} and \textit{F. Ricci} [J. Geom. Anal.
Druetta, Maria J
openaire   +2 more sources

Trace maps on rigid Stein spaces [PDF]

open access: yesmanuscripta mathematica, 2023
AbstractWe provide a relative version of the trace map from the work of Beyer, which can be associated to any finite étale morphism $$ X \rightarrow Y$$ X → Y of smooth rigid Stein spaces and which then relates the Serre duality on X with ...
Malčić, Milan
openaire   +4 more sources

Function spaces of BMO and Campanato type [PDF]

open access: yesElectronic Journal of Differential Equations, 2002
To obtain the Littlewood-Paley characterization for Campanato spaces $mathcal{L}^{2,lambda}$ modulo polynomials (which contain as special case the John and Nirenberg space $BMO$), we define and study a scale of function spaces on $mathbb{R}^{n}$.
Azzeddine El Baraka
doaj   +1 more source

Invariant meromorphic functions on Stein spaces [PDF]

open access: yes, 2012
International audienceIn this paper we develop fundamental tools and methods to study meromorphic functions in an equivariant setup. As our main result we construct quotients of Rosenlicht-type for Stein spaces acted upon holomorphically by complex ...
Greb, Daniel, Miebach, Christian
core   +1 more source

A note on the Fefferman–Stein inequality on Morrey spaces [PDF]

open access: yes, 2017
In this paper, we discuss the Fefferman–Stein inequality on Morrey spaces and give a sufficient and necessary condition for which the inequality holds. Further, we give an example of weights such that the Fefferman–Stein inequality on Morrey spaces fails.
Nakamura, Shohei, Iida, Takeshi
core   +1 more source

Boundedness of Littlewood-Paley Operators Associated with Gauss Measures

open access: yesJournal of Inequalities and Applications, 2010
Modeled on the Gauss measure, the authors introduce the locally doubling measure metric space (𝒳,d,μ)ρ, which means that the set 𝒳 is endowed with a metric d and a locally doubling regular Borel measure μ ...
Liguang Liu, Dachun Yang
doaj   +2 more sources

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