4 papers
On sets of extreme functions for Fatou's theorem
Thiago R. Alves, Leonardo Brito, Daniel Carando
Bounded holomorphic functions on the disk have radial limits in almost every direction, as follows from Fatou's theorem. Given a zero-measure set in the torus , we s…
Spaceability of sets of p-compact maps
Thiago R. Alves, Pablo Turco
We provide quite sufficient conditions on the Banach spaces and in order to obtain the spaceability of the set of all linear operators from into which are -compa…
Algebras and Banach spaces of Dirichlet series with maximal Bohr's strip
Thiago R. Alves, Leonardo Brito, Daniel Carando
We study linear and algebraic structures in sets of Dirichlet series with maximal Bohr's strip. More precisely, we consider a set of Dirichlet series which are uniform…
Holomorphic functions with large cluster sets
Thiago R. Alves, Daniel Carando
We study linear and algebraic structures in sets of bounded holomorphic functions on the ball which have large cluster sets at every possible point (i.e., every point on the sphere…