Add to ORKGWe prove in this paper that if G is a domain in the complex plane satisfying adequate topological or geometrical conditions then there exists a large (dense or closed infinite-dimensional) linear submanifold of boundary-regular holomorphic functions on G all of whose nonzero members are not continuable across any boundary point of G.Ministerio de Ciencia y Tecnología (MCYT). EspañaPlan Andaluz de Investigación (Junta de Andalucía
We consider the spaces H∞F(Ω) and AF(Ω) containing all holomorphic functions f on an open set Ω⊆C, s...
We discuss interrelations between $H^{\infty}$-convex domains and $H^{\infty}$-domains of holo morph...
Let A be an unbounded Arakelian set in the complex plane whose complement has infinite inscribed rad...
In this paper, the linear structure of the family He(G) of holomorphic functions in a domain G of th...
In this paper, it is proved that, for any domain G of the complex plane, there exist an infinite-dim...
We prove in this paper the following result which extends in a somewhat ‘linear’ sense a theorem by ...
In this note, the linear structure of the family He(G) of holomorphic functions in a domain G of a c...
The existence of a dense linear manifold of holomorphic functions on a Jordan domain having except ...
We prove in this paper the existence of dense linear subspaces in the classical holomorphic Lipschit...
AbstractLet Ω be a regular domain in the complex plane C, Ω≠C. Let Gb(Ω) be the linear space over C ...
The existence of infinite dimensional closed linear spaces of holomorphic functions f on a domain G...
We prove in this note that, given a simply connected domain G in the complex plane and a sequence of...
AbstractWe prove in this note that, given a simply connected domainGin the complex plane and a seque...
AbstractThe existence of a dense linear manifold of holomorphic functions on a Jordan domain having ...
We prove the existence of dense linear subspaces, of infinitely generated subalgebras and of infinit...
We consider the spaces H∞F(Ω) and AF(Ω) containing all holomorphic functions f on an open set Ω⊆C, s...
We discuss interrelations between $H^{\infty}$-convex domains and $H^{\infty}$-domains of holo morph...
Let A be an unbounded Arakelian set in the complex plane whose complement has infinite inscribed rad...
In this paper, the linear structure of the family He(G) of holomorphic functions in a domain G of th...
In this paper, it is proved that, for any domain G of the complex plane, there exist an infinite-dim...
We prove in this paper the following result which extends in a somewhat ‘linear’ sense a theorem by ...
In this note, the linear structure of the family He(G) of holomorphic functions in a domain G of a c...
The existence of a dense linear manifold of holomorphic functions on a Jordan domain having except ...
We prove in this paper the existence of dense linear subspaces in the classical holomorphic Lipschit...
AbstractLet Ω be a regular domain in the complex plane C, Ω≠C. Let Gb(Ω) be the linear space over C ...
The existence of infinite dimensional closed linear spaces of holomorphic functions f on a domain G...
We prove in this note that, given a simply connected domain G in the complex plane and a sequence of...
AbstractWe prove in this note that, given a simply connected domainGin the complex plane and a seque...
AbstractThe existence of a dense linear manifold of holomorphic functions on a Jordan domain having ...
We prove the existence of dense linear subspaces, of infinitely generated subalgebras and of infinit...
We consider the spaces H∞F(Ω) and AF(Ω) containing all holomorphic functions f on an open set Ω⊆C, s...
We discuss interrelations between $H^{\infty}$-convex domains and $H^{\infty}$-domains of holo morph...
Let A be an unbounded Arakelian set in the complex plane whose complement has infinite inscribed rad...