Carme Cascante

Carme Cascante

Carme Cascante
PhD in Mathematics from Universitat Autònoma de Barcelona
Associate Professorat at UB

email: cascante@ub.edu

Biosketch

I did my thesis at the Universitat Autònoma de Barcelona. I was a postdoctoral researcher at University of Wisconsin at Madison in 1988-1989 and in 1990 and at University of Tsukuba in 1991. Currently I am associate professor at University of Barcelona since 1989.

 

Research Interests

The main research lines are function theory in spaces of holomorphic and harmonic functions:

  • Carleson and trace  measures
  • Multipliers
  • Holomorphic potentials
  • Toeplitz and Hankel operators

 

Selected publications

  • The corona theorem for weighted Hardy and Morrey spaces (with J. Fàbrega and J.M. Ortega). Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 13 (2014), no. 3, 579–607.
  • On the boundedness of discrete Wolff potentials (with J.M. Ortega). Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 8 (2009), no. 2, 309–331.
  • On Lp-Lq trace inequalities (with J.M. Ortega and I.E. Verbitsky). J. London Math. Soc. (2) 74 (2006), no. 2, 497–511.
  • Imbedding potentials in tent spaces. (with J.M. Ortega) J. Funct. Anal. 198 (2003), no. 1, 106–141.
  • Trace inequalities of Sobolev type in the upper triangle case (with J.M. Ortega and I.E. Verbitsky). Proc. London Math. Soc. (3) 80 (2000), no. 2, 391–414.