4 papers
Asymptotic first boundary value problem for elliptic operators
Javier Falcó, Paul M. Gauthier
In 1955, Lehto showed that, for every measurable function on the unit circle there is a function holomorphic in the unit disc, having as radial limit a.e.…
Algebras of frequently hypercyclic vectors
Javier Falcó, Karl-G. Grosse-Erdmann
We show that the multiples of the backward shift operator on the spaces , , or , when endowed with coordinatewise multiplication, do not possess fr…
A function algebra providing new Mergelyan type theorems in several complex variables
Javier Falcó, Paul M. Gauthier, Myrto Manolaki +1
For compact sets , we introduce a subalgebra of , which allows us to obtain Mergelyan type theorems for products of planar compact sets as…
Algebrability of the set of hypercyclic vectors for backward shift operators
Javier Falcó, Karl-G. Grosse-Erdmann
We study the existence of algebras of hypercyclic vectors for weighted backward shifts on Fréchet sequence spaces that are algebras when endowed with coordinatewise multiplication…