Updated: 2011/06/16 - jueves, 16 de junio de 2011

Areas of interest: Complex Analysis, Functional Analysis, Geometric Function Theory, Operator Theory.

Specific topics of recent and/or present interest:: 

• Integrability of the derivative of a Blaschke product. 

• Uniformly discrete sequences, interpolating sequences.

• Hardy spaces, Bergman spaces, BMOA, Bloch functions, Q_p spaces, normal functions, spaces of Dirichlet type.

• Univalent functions and function spaces.

• Planar domains as images of the disc under conformal mappings.

• Toeplitz operators in function spaces.

• Taylor coefficients and convolution multipliers in analytic function spaces.

• Embedding theorems between various spaces of analytic functions.

I got my Ph. D. degree in Mathematics in  "The Department of Mathematics of Washington University" (St. Louis, Mo, U.S.A) in 1985. The title of my thesis was  "Means of univalent functions" and  my thesis advisor  Albert Baernstein. I am also "Doctor en Ciencias (Sección Matemáticas)" for the University of Málaga.

I have directed two doctoral dissertations:
1. María Auxiliadora Márquez, Espacios de funciones analíticas caracterizados por propiedades de las derivadas de sus elementos, Universidad de Málaga, 2000.
2. José Ángel Peláez, Contribuciones a la teoría de ciertos espacios de funciones analíticas, Universidad de Málaga, 2004.

The "family relations" between Mathematicians can be found in  "The Mathematics Genealogy Project". 

I am the main researcher or director of the following research projects or groups:

•  "Espacios de funciones analíticas y Teoría Geométrica de Funciones" (Analytic Function Spaces and Geometric Function Theory) financed by the "Ministerio de Educación y Ciencia, Spain" (key of the project: MTM2007-60854).
   

• Network "Variable Compleja, Espacios de Funciones y Operadores entre ellos" (Complex Variables, Function Spaces and Operators between them) financed by the "Ministerio de Educación y Ciencia, Spain" (keys: MTM2004-21420-E, MTM2006-26627-E, MTM2007-30904-E, MTM2008-02829-E and ayuda i-math SAIRT-C4-0187).
   

• "Grupo de Análisis Complejo, Espacios de Funciones y Teoría de Operadores de la Universidad de Málaga" (Group of  Complex Analysis, Function Spaces and Operator Theory of the University of Málaga) financed by the "Junta de Andalucía" (key of the group: FQM-210). 
   

• Proyecto de excelencia de la Junta de Andalucía "Análisis Complejo, Teoría de Operadores y Aplicaciones" (P09-FQM-4468).

I am a member of  the Real Sociedad Matemática Española (RSME), the European Mathematical Society (EMS) and the  American Mathematical Society (AMS).

Here you can find a list of my publications.

Here you can find a list of works where my articles are cited in their references.

Here you can find a list of authors who cite my articles in their works.

I have worked in the organization of the following congresses:

VII Encuentros de Análisis Real y Complejo. Torremolinos, Málaga, Spain. May 2002.

First International Course in Mathematical Analysis in Andalucía. Cádiz, Spain. September 2002.

Special session "Banach spaces of analytic functions" in the First joint AMS-RSME meeting. Seville, Spain June 2003.

Second International Course in Mathematical Analysis in Andalucía. Granada, Spain. September 2004.

Analysis Conference on the Interplay of Complex Variables, Probability and Partial Differential Equations
(Meeting in honor of Al. Baernstein). Washington University in St. Louis, USA. May 11-14, 2005 

Recent advances in operator-related function theory II
(honoring the 70th Birthday and 45 years in Mathematics of Peter L. Duren) El Escorial (Madrid), SPAIN, October 6-8, 2005

Winter School in Complex Analysis and Operator Theory, Antequera (Málaga), Spain. February 5-9, 2006.

Second Winter School in Complex Analysis and Operator Theory (WS-CAOT-08) Seville (Spain). February 5-9, 2008.

Sesión especial "Análisis Complejo y Teoría de Operadores" in CONGRESO DE LA REAL SOCIEDAD MATEMÁTICA ESPAÑOLA 2009,
Oviedo 4-7 de febrero de 2009.

MODERN COMPLEX ANALYSIS AND OPERATOR THEORY AND THEIR APPLICATIONS IV
El Escorial (Madrid), Spain, June 17-21, 2009.

Sesión de Teoría de Operadores en el Primer Congreso Conjunto RSME-SMM (Real Sociedad Matemática Española-Sociedad Matemática Mexicana)
Oaxaca, México. 22-24 july, 2009.

Third Winter School in Complex Analysis and Operator Theory.
Valencia, Spain. February 2-5, 2010.

Session "Complex Analysis and Operator Theory" in the International Functional Analysis Meeting in Valencia on the occasion of the 80th birthday of Prof. Manuel Valdivia, (FAV2010)
Universidad de Valencia, Spain. June 7-11, 2010.

Special Session "Complex Analysis and Operator Theory" in Congreso de la Real Sociedad Matemática Española. Centenario de la RSME
Ávila, Spain. February 1-5, 2011.

Complex and Harmonic Analysis 2011. Málaga, Spain. July 10-14, 2011.

Recent talks:

• A four hours mini-course on "Conformal mappings and function spaces" in "Summer School "Function spaces and classes" University of Joensuu, Finland,
  May 22–26, 2006.

• "On the membership in Bergman spaces of the derivative of a Blaschke product", Plenary talk in "International Conference "Analytic function spaces". Joensuu (Finland). 29-5-2006/2-6-2006.

• "Aplicaciones de un resultado de Marshall y Sarason sobre productos de Blaschke" en "II Jornada de Análisis Complejo y Temas Relacionados", Universidad Autónoma de Madrid, 4 de Julio  de 2006.

• "Division by inner functions in the Bloch space", invited talk in "Harmonic and Geometric Analysis with Applications to Pde's". Sevilla. August 14-18, 2006. (Satelllite Conference of the ICM2006). 

I act as a reviewer for Mathematical Reviews y para Zentralblatt MATH.

I am a member of the editorial board of  the journals "Global Journal of Pure and Applied Mathematics" (GJPAM) and  "Far East Journal of Mathematical Sciences" (FJMS).