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math.CV2014
Closure of Hardy spaces in the Bloch space
Petros Galanopoulos, Nacho Monreal Galán, Jordi Pau
A description of the Bloch functions that can be approximated in the Bloch norm by functions in the Hardy space of the unit ball of $\Cn$ for is given. When $0<p…
math.CA2014
Interpolation and sampling for analytic selfmappings of the disc
Nacho Monreal Galan, Michael Papadimitrakis
Two different problems are considered here. First, a version of Schwarz-Pick Lemma for points leads to an interpolation problem for analytic functions from the disc into itself…
math.CV2014
Extremal solutions of Nevalinna-Pick problems and certain classes of inner functions
Nacho Monreal Galán, Artur Nicolau
Consider a scaled Nevanlinna-Pick interpolation problem and let be the Blaschke product whose zeros are the nodes of the problem. It is proved that if belongs to a certain…