Fields of interest

• Complex Analysis
• Geometric Function Theory
• Harmonic Analysis
• Potential Theory
• Functional Approximation
• Functional Analysis
• Operator Theory

Topics of recent - actual interest: 

• Hardy spaces, Bergman spaces, BMOA, Bloch spaces, Q_p spaces, spaces of Dirichlet type.
• Univalent Functions.
• Composition Operators.
• Simultaneous appoximation in different function spaces.

Research Grants and Networks

• Responsible researcher of Proyecto de Investigación of Ministerio de Educación y Ciencia, Spain, reference number MTM2005-07347.
• Responsible researcher of Universidad of La Laguna research group " Real and Complex Analysis".
• Member of the Spanish thematic network "Complex Variable, Function Spaces and operators between them" ( MEC MTM2006-26627-E, MTM2007-30604-E))
• Member of the Steering Committee of the European ESF PESC Network "Harmonic and Complex Analysis and their Applications" (HCAA 2007-2012)

Ph. D. Students

• Juan Carlos Fariña Gil, Universidad de La Laguna, 1989
• Rodrigo Trujillo González, Universidad de La Laguna, 1996
• Julio César Ramos Fernández, Universidad de La Laguna, 2007

I act as reviewer for "Mathematical Reviews and for Zentralblatt Math.