Πέτρος Γαλανόπουλος, 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 Hp of the unit ball of Cn for 0<p<∞ is given. When 0<p≤1, the result is new even in the case of the unit disk.
Tópico(s): Algebraic and Geometric Analysis
2015 - Elsevier BV | Journal of Mathematical Analysis and Applications
Nacho Monreal Galán, Artur Nicolau,
A description of the closure in the Bloch norm of the Bloch functions that are in a Hardy space is given. The result uses the classical estimates for the Lusin area function.
Tópico(s): Spectral Theory in Mathematical Physics
2010 - Serbian Mathematical Society | St Petersburg Mathematical Journal
Berta Barquero, Nacho Monreal, Noemí Ruiz-Munzón, Lídia Serrano,
Tópico(s): Knowledge Management and Sharing
2017 - Springer Science+Business Media | International Journal of Research in Undergraduate Mathematics Education
Nacho Monreal Galán, Artur Nicolau,
Tópico(s): Differential Equations and Boundary Problems
2018 - Springer Science+Business Media | Journal d Analyse Mathématique
Pere Menal Ferrer, Nacho Monreal Galán, Artur Nicolau,
Schwarz's Lemma leads to a natural interpolation problem for analytic functions from the disc into itself. The corresponding interpolating sequences are geometrically described in terms of a certain hyperbolic density.
Tópico(s): Algebraic and Geometric Analysis
2011 - Johns Hopkins University Press | American Journal of Mathematics
An analogue of the universal integral means spectrum is defined for Bloch functions, and is computed by using a suitable dyadic norm.
Tópico(s): Holomorphic and Operator Theory
2008 - Wiley | Bulletin of the London Mathematical Society