Marco M. Peloso

Dipartimento di Matematica
Università degli Studi di Milano
Via C. Saldini, 50
20133 Milano -- Italy
phone: +39-02-50316129
FAX: +039-02-50316090
e-mail: marco.peloso@unimi.it



Curriculum Vitae

Publications

Current research interests

Download preprints




Brief Curriculum Vitae

Current Position

  • Professor of Mathematics, Università degli Studi di Milano, Italy.

Responsabilities

Education

  • Laurea in Matematica, Università degli Studi di Milano, Italy, 1984.
  • Ph.D. in Mathematics, Washington University in St. Louis, 1990.

Academic Positions held

  • Instructor, University College, Washington University in St. Louis, 1986-1990.
  • Visiting Instructor, Fall 1990, Department of Mathematics, Michigan State University, East Lansing.
  • Visiting Professor, Spring 1991, Mittag-Leffler Institute.
  • Ricercatore, Nov. 1991-Oct. 1998, Dipartimento di Matematica, Politecnico di Torino.
  • Associate Professor, Nov. 1998- Dec. 2003, Dipartimento di Matematica, Politecnico di Torino.
  • Visiting Professor, Fall 2005, Department of Mathematics, University of Missouri, Columbia.
  • Visiting Scholar, Spring 2006, Department of Mathematics, Washington University in St. Louis.
  • Full Professor, Jan. 2004-Sept. 2007, Dipartimento di Matematica, Politecnico di Torino.
  • Full Professor, since October 1st 2007, Dipartimento di Matematica, Università degli Studi di Milano

Honors/Grants

  • Scientist in Charge for the Italian node of the IHP research project of the European Community "HARP" Harmonic Analysis and Realted Problems, Contract Number RNT2-2001-00315, Jul. 15 2002- Jul. 15 2006.
  • Scientist in Charge for the Italian node of the TMR research project of the of the European Community Harmonic Analysis on the Eucledian spaces and their Lie groups counterpart, Contract Number FMRX-CT97-0159, Nov. 1, 2000- Aug. 31, 2002.
  • Member Scientific Committee, Summer School in Harmonic Analysis , Centro Ennio De Giorgi, Pisa, 1-13 Sept. 2003.
  • Co-organizer, XXX Convegno Nazionale di Analisi Armonica, Palazzo Feltrinelli, Gargnano, June 7-11 2010.
  • Co-organizer, XX Convegno Nazionale di Analisi Armonica, Aosta, June 7-10 1999.
  • Co-organizer conference Harmonic Analysis in Varenna, European Union HCM, Fourier Analysis Network, Apr.28- May 3 1997.
  • Co-organizer XIV Convegno Nazionale di Analisi Armonica, Torino, Jun. 4-7 1994.
  • Professor, Scuola Matematica Interuniversitaria, Perugia, summer 2001.
  • Other Grants: S.M.I. (84), C.N.R. (86-88), Washington University (85-89/90), INdAM (91), S.M.I. (93), NATO (94).

Current research interests

  • Harmonic Analysis

    • Maximal functions, covering lemmas, analysis on product spaces
    • Hardy spaces
    • Regularity of Fourier integral operators
    • Multiplier theorems for Laplacians and sub-Laplacians on the Heisenberg group
  • Several Complex Variables

    • Bergman and Hardy spaces, mapping properties of Bergman and Hardy projections
    • Analysis on convex domains of finite type
    • Boundary regularity of holomprphic functions and mappings
    • Holomorphic Sobolev spaces projections
    • $\bar\partial$-Neumann and related boundary value problems on domains in $C^n$
  • Partial Differential Equations

    • Solvability of partial differential operators on the Heisenberg and other nilpotent Lie groups
    • Regularity of solutions of the wave equation on the Heisenberg group
    • Non-elliptic boundary value problems
    • $\bar\partial$-Neumann and related boundary value problems on domains in $C^n$
  • Operator Theory

    • Hankel operators on Hardy and Bergman spaces



Publications

  1. (with V. Casarino) Lp-summability of Riesz means for the sublaplacian on complex spheres, J. London Math. Soc., in print.
  2. (with L. Grafakos) Bilinear Fourier integral operators, J. Pseudo-Differ. Oper. Appl. 1 (2010), 161--182.
  3. (with H. Valencourt) Boundary behaviour of holomorphic functions in Hardy-Sobolev spaces on convex domains in Cn, Colloq. Math. 118 (2010), 649--668.
  4. (with S. Krantz) Analysis and geometry on worm domains, Journal of Geometric Analysis 18 (2008), 478--510.
  5. (with S. Secco) Boundedness of Fourier integral operators on Hardy spaces, Proceedings of the Edimburgh Phil. Soc. 51 (2008), 443--463.
  6. (with S. Krantz) Bergman kernel and projection on non-smooth worm domains, Houston Journal of Mathematics 34 (2008), 873--950.
  7. (with S. Secco) Local Riesz transforms characterizations of local Hardy spaces, Collectanea Math. 59 (2008), 299--320,
  8. (with S. Krantz) New results for the Bergman kernel of the worm domain in complex space, Electron. Res. Announc. Math. Sci. 14 (2007), 35--41.
  9. Lp-boundedness for the Bergman projection on non-smooth worm domains, Proc. XX Ann. Giraga, Yaoundé 2007.
  10. (with D. Müller and F. Ricci) Lp-spectral multipliers for the Hodge Laplacian acting on 1-forms on the Heisenberg group, GAFA, 2007.
  11. (with D. Müller and F. Ricci) Eigenvalues of the Hodge Laplacian on the Heisenberg group, Collect. Math., Special Issue (2006), 327--342.
  12. (with D. Békollé, A. Bonami, G. Garrigós, C. Nana, & F. Ricci) Lecture Notes on Bergman projectors in tube domains over cones : an analytic and geometric viewpoint, IMHOTEP 1 (2005), 1--79.
  13. (with F. Ricci) Analysis of the Kohn Laplacian on quadratic CR manifolds, J. Funct. Anal., 203 (2003), 321--355.
  14. (with D. Müller) Non-solvabilty for a class of left-invariant second order differential operators on the Heisenberg group, Trans. Amer. Math. Soc., 355 (2003), 2047--2064.
  15. (with S. Grellier) Decomposition theorems for Hardy spaces on convex domains of finite type, Illinois J. Math., 46 (2002), 63--80.
  16. (with F. Ricci) Solvability of the tangential Cauchy-Riemann equationson quadratic CR manifolds, Rend. Mat. Acc. Lincei 13 (2002) 125--134.
  17. (with A. Bonami and F. Sysemak) Factorization of Hardy spaces and Hankel operators on convex domains in Cn, J. Geom. Anal. 11 (2001), 363--397.
  18. (with D. Békollé, A. Bonami, and F. Ricci) Boundedness of the weighted Bergman projections on tube domainsover light cones, Math. Zeis. 237 (2001), 31--59.
  19. (with L. Fontana and S. Krantz) Estimates for the $\bar\partial$-Neumann problem in the Sobolev topology on Z(q) domains, Houst. J. Math. 27 (2001), 127--176.
  20. (with A. Bonami) Hankel operators on Hardy spaces on two classical domains, Functional Analysis VI, Proc. Conf. Dubrovnik, Various Publications Series 45 (2000), 7--18.
  21. (with A. Bonami and F. Sysemak) On Hankel operators on Hardy and Bergman spaces and related questions, Actes de Recontes de Analyse Complexe, Poitier 1999, Ed. Atlantique 2000, 131--156.
  22. (with E. Damek, A. Hulanicki, and D. Müller) Pluriharmonic H2 functions on symmetric irreducible Siegel domains, Geom. Funct. Anal. (GAFA) 10 (2000), 1090--1117.
  23. (with S. G. Krantz) Sobolev spaces and projections of holomorphic functions and mappings, Contem. Math. 232 (1999), 219--231.
  24. (with D. Müller and F. Ricci) On local solvability for complex coefficients differential operators on the Heisenberg group, J. reine angew Math. 513 (1999), 181--234.
  25. (with A. Bonami and F. Sysemak) Powers of the Szegö kernel and Hankel operators on Hardy spaces, Michigan Math. J. 46 (1999), 225--250.
  26. (with L. Fontana and S. Krantz) The $\bar\partial$-Neumann problem in the Sobolev topology, Indiana J. Math. 48 (1999), 275--293.
  27. (with L. Fontana and S. Krantz) Hodge theory in the Sobolev topology for the de Rham complex, Memoirs of the Amer. Math. Soc. 266 (1998).
  28. (with D. Müller and F. Ricci) On the solvability of homogeneous left-invariant differential operators on the Heisenberg group, J. Funct. Anal. 148 (1997), 368--383.
  29. (with F. Ricci) Sulla risolubilità degli operatori differenziali invarianti sul gruppo di Heisenberg, Rendiconti del Seminario Matematico dell'Università e del Politecnico di Milano LXV (1995), 321--333.
  30. (with F. De Mari and F. Ricci) Analysis of second order differential operators with complex coefficients on the Heisenberg group, J. reine angew Math. 64 (1995), 67--95.
  31. (with L. Fontana and S. Krantz) Hodge theory in the Sobolev topology for the de Rham complex on a smoothly bounded domain in Euclidean space, Elec. Res. Ann. AMS 1 (1995), 103--107.
  32. Sobolev regularity of the weighted Bergman projections and estimates for minimal solutions to the $\bar\partial$-equation, Complex Var. Theory and Appl. 27 (1995), 339--363.
  33. Hankel operators on weighted Bergman spaces on strongly pseudoconvex domains, Illinois J. Math. 38 (1994), 223--249.
  34. Möbius Invariant Spaces on the Unit Ball inCn: A survey, Seminars in Complex Analisys and Geometry, Università della Calabria, 1993, Rende, 91--118.
  35. Besov spaces, mean oscillation, and generalized Hankel operators on the unit ball, Pacific J. Math. 161 (1993), 155--184.
  36. Möbius invariant spaces on the unit ball, Michigan Math. J. 39 (1992), 509--536.
  37. Central Critical Points in the Spectrum of the Fourier-Stieltjes Algebra of a Locally Compact Group, Rendiconti di Matematica, Serie VII 11 (1991), 67--84.

Preprints

  1. (with D. Müller and F. Ricci) Analysis of the Hodge Laplacian acting on forms on the Heisenberg group, 2011.
  2. appunti fernando