Mathematics

Preprints

• On existence and uniqueness for non-autonomous parabolic Cauchy problems with rough coefficients (joint with Pascal Auscher and Sylvie Monniaux)

  This is a preprint version (November 2015) in pdf. The actual paper has been submitted.

• Finite speed of propagation and off-diagonal bounds for Ornstein-Uhlenbeck operators in infinite dimensions (joint with Jan van Neerven)

  This is a preprint version (July 2015) in pdf. The actual paper will appear in Annali di Matematica Pura ed Applicata.

• Conical square function estimates and functional calculi for perturbed Hodge-Dirac operators in Lp (joint with Dorothee Frey and Alan McIntosh)

  This is a preprint version (July 2014) in pdf. The actual paper has been submitted.

• Maximal and quadratic Gaussian Hardy spaces

  This is a preprint version (March 2012) in pdf. The actual paper has been published in Revista Matematica Iberoamericana 30 (2014) 79-108.

• Singular integral operators on tent spaces (joint with Pascal Auscher, Christoph Kriegler, and Sylvie Monniaux)

  This is a preprint version (December 2011) in pdf. The actual paper has been published in Journal of Evolution Equations 12 (2012) 741-765.

• Conical maximal Lp-regularity for stochastic convolutions (joint with Pascal Auscher and Jan van Neerven)

  This is a preprint version (December 2011) in pdf. The actual paper has been published in Mathematische Annalen 359 (2014) 863-889.

• The maximal regularity operator on tent spaces (joint with Pascal Auscher and Sylvie Monniaux)

  This is a preprint version of a short note (November 2010) in pdf. The actual paper has been published in Communication in Pure and Applied Analysis 11 (2012) 2213-2219.

• Non-tangential maximal functions and conical square functions with respect to the Gaussian measure (joint with Jan Maas and Jan van Neerven)

  This is a preprint version (March 2010) in pdf. The actual paper has been published in Publicacions Matematiques 55 (2011) 313-341.

• Whitney coverings and the tent spaces T^{1,q} for the Gaussian measure (joint with Jan Maas and Jan van Neerven)

  This is a preprint version (February 2010) in pdf. The actual paper has been published in Arkiv for Matematik 50 (2012) 379-395. .

• Holomorphic functional calculus of Hodge-Dirac operators in Lp (joint with Tuomas Hytonen and Alan McIntosh)

  This is a preprint version (July 2009) in pdf. The actual paper has been published in Journal of Evolution Equations 11 (2011) 71-105.

• Conical square function estimates in UMD Banach spaces (joint with Tuomas Hytonen and Jan Van Neerven)

  This is a preprint version (September 2007) in pdf. The actual paper has been published in Journal d'Analyse Mathematique 106 (2008) .

• Kato's square root problem in Banach spaces (joint with Tuomas Hytonen and Alan McIntosh)

  This is a preprint version (February 2007) in pdf. The actual paper has been published in Journal of Functional Analysis 254 (2008) .

• Vector-valued multiparameter singular integrals and pseudodifferential operators (joint with Tuomas Hytonen)

  This is a preprint version (October 2005) in pdf. The actual paper has been published in Advances in Mathematics 217 (2008) .

• Some remarks on l1 and l-infinity maximal regularity for power-bounded operators (joint with Nigel Kalton)

  This is a preprint version (August 2005) in pdf. The actual paper has been published in Journal of the Australian Math. Society 84 (2008) .

• Pseudodifferential operators on Bochner spaces and an application (joint with Zeljko Strkalj)

  This is a preprint version (July 2004) in pdf. The actual paper has been published in Mathematische Zeitschrift 253 (2006) .

• Maximal regularity of evolution equations on discrete time scales

  This is a preprint version (December 2003) in pdf. The actual paper has been published in Journal of Mathematical Analysis and Applications 304/1 (2005).

• Discrete time analytic semi-groups and the geometry of Banach spaces

  This is a preprint version (December 2001) in pdf. The actual paper has been published in Semigroup Forum 67 (2003) .

Editorial work

• Editor of Complex Analysis and Operator Theory.
• (with J. Ball, M. Dritschel, T. ter Elst, D. Potapov) Operator theory in harmonic and non-commutative analysis. Volume 240 of Operator Theory: Advances and Applications Birkhauser 2014.
• (with Alan McIntosh) Proceedings of the CMA/AMSI ``Asymptotic Geometric Analysis, Harmonic Analysis and Related Topics" Research Symposium. Volume 42 of the Proceedings of the CMA .

Thesis

• Harmonic Analysis of Banach space valued functions in the study of parabolic evolution equations

  This is my PhD thesis. The first few pages are in French but, besides that, it is written in English. My advisers were Nigel Kalton at the University of Missouri-Columbia and Gilles Lancien at the Universite de Franche-Comte in Besancon.

• Elements de classification lipschitzienne et uniforme des espaces de Banach et application

  This is my Master thesis, written in French with Gilles Lancien as adviser.