Dr Pierre Portal
PhD Universite de Franche-Comte and University of Missouri
Lecturer
ANU College of Physical and Mathematical Sciences
Areas of expertise
- Lie Groups, Harmonic And Fourier Analysis 010106
Researcher's projects
Discovery Project DP120103692 (2012-2015)
Harmonic analysis of differential operators in Banach spaces.
Publications
- van Neerven, J & Portal, P 2015, 'Finite speed of propagation and off-diagonal bounds for Ornstein-Uhlenbeck operators in infinite dimensions', Annali di Matematica Pura ed Applicata, pp. 1-27.
- Portal, P 2014, 'Maximal and quadratic gaussian hardy spaces', Revista Matematica Iberoamericana, vol. 30, no. 1, pp. 79-108.
- Auscher, P, van Neerven, J & Portal, P 2014, 'Conical stochastic maximal Lp-regularity for 1< p < infinity ', Mathematische Annalen, vol. 359, pp. 863-889.
- Auscher, P, Monniaux, S & Portal, P 2012, 'The maximal regularity operator on tent spaces', Communications on Pure and Applied Mathematics, vol. 11, no. 6, pp. 2213-2219.
- Auscher, P, Kriegler, C, Monniaux, S, Portal, P, 2012, 'Singular integral operators on tent spaces', Journal of Evolution Equations, vol. 12, no. 4, pp. 741-765.
- Maas, J, van Neerven, J, Portal, P 2011, 'Conical square functions and non-tangential maximal functions with respect to the gaussian measure', Publicacions Matematiques, vol. 55, no. 2, pp. 313-341.
- Maas, J, van Neerven, J, Portal, P, 2011, 'Whitney coverings and the tent spaces T^{1,q} for the Gaussian measure', Arkiv for Matematik, vol. 49.
- Hytonen, T, McIntosh, A, Portal, P 2011, Holomorphic functional calculus of Hodge-Dirac operators in Lp. Journal of Evolution Equations 11, 71-105.
- Hytonen, T, van Neerven, J, Portal, P, 2008, 'Conical square function estimates in UMD Banach spaces and applications to Hinfinty-functional calculi', Journal d'Analyse Mathematique, vol. 106, no. 1, pp. 317-351.
- Hytonen, T, McIntosh, A & Portal, P 2008, 'Kato's square root problem in Banach spaces', Journal of Functional Analysis, vol. 254, pp. 675-726.
- Hytonen, T, Portal, P 2008, 'Vector-valued multiparameter singular integrals and pseudodifferential operators', Advances in Mathematics, vol. 217, no. 2, pp. 519-536.
- Kalton, N, Portal, P, 2008, 'Some remarks on l1 and linfinity maximal regularity for power- bounded operators', Journal of the Australian Mathematical Society, vol. 84, no. 03, pp. 345-365.
- Portal, P & Strkalj, Z 2006, 'Pseudodifferential operators on Bochner spaces and an application', Mathematische Zeitschrift, vol. 253, pp. 805-819.
- Portal, P 2005, 'Maximal regularity of evolution equations on discrete time scales', Journal of Mathematical Analysis and Applications, vol. 304, no. 1, pp. 1-12.
Projects and Grants
Grants are drawn from ARIES. To add Projects or Grants please contact your College Research Office.
- Harmonic analysis of rough oscillations (Primary Investigator)
- Harmonic analysis in rough contexts (Primary Investigator)
- Harmonic analysis of differential operators in Banach spaces (Primary Investigator)
