Dear visitor,

You have now entered a web page maintained by Anders Olofsson. During the last years I have been active in research in mathematical analysis. Up till now I have published the following papers:

  1. On a variant of the Bernstein-Walsh Theorem, Complex Analysis and Differential Equations. Proceedings of the Marcus Wallenberg Symposium in Honor of Matts Esse'n Held in Uppsala, Sweden June 15-18, 1997. Editors: Christer Kiselman and Anders Vretblad. Uppsala: Uppsala University 1999, 255-262.
  2. Absolutely continuous measures on non quasi-analytic curves with independent powers, Proc. Amer. Math. Soc. 129 (2001) 515-524.
  3. An extremal problem in Banach algebras, Studia Math. 145 (2001) 255-264. pdf
  4. Continuous measures with large partial sums, Algebra i Analiz 13 (2001) 171-178; St. Petersburg Math. J. 13 (2002) 465-470.
  5. Apriori estimates of Osserman-Keller type, Differential Integral Equations 16 (2003) 737-756. ps
  6. Behavior at infinity of solutions of an equation of Osserman-Keller type, J. Math. Anal. Appl. 283 (2003) 375-385.
  7. Existence and uniqueness of solutions of a semilinear differential equation, Indiana Univ. Math. J. 52 (2003) 1251-1264. pdf
  8. A monotonicity estimate of the biharmonic Green function, Arch. Math. (Basel) 82 (2004) 240-244. pdf
  9. Operator-valued n-harmonic measure in the polydisc, Studia Math. 163 (2004) 203-216. pdf
  10. A von Neumann Wold decomposition of two-isometries, Acta Sci. Math. (Szeged) 70 (2004) 715-726. pdf
  11. Wandering subspace theorems, Integral Equations Operator Theory 51 (2005) 395-409. pdf
  12. (with Håkan Hedenmalm) Hele-Shaw flow on weakly hyperbolic surfaces, Indiana Univ. Math. J. 54 (2005) 1161-1180. pdf
  13. A representation formula for radially weighted biharmonic functions in the unit disc, Publ. Mat. 49 (2005) 393-415. pdf
  14. An inequality for sums of subharmonic and superharmonic functions, Houston J. Math. 32 (2006) 577-588. pdf
  15. A characteristic operator function for the class of n-hypercontractions, J. Funct. Anal. 236 (2006) 517-545. pdf
  16. Regularity in a singular biharmonic Dirichlet problem, Monatsh. Math. 148 (2006) 229-239. pdf
  17. A representation formula for reproducing subharmonic functions in the unit disc, Bergman Spaces and Related Topics in Complex Analysis: Proceedings of a Conference in Honor of Boris Korenblum's 80th Birthday, 165-173, Contemp. Math. 404, 2006. dvi
  18. An operator-valued Berezin transform and the class of n-hypercontractions, Integral Equations Operator Theory 58 (2007) 503-549. pdf
  19. Operator-valued Bergman inner functions as transfer functions, Algebra i Analiz 19 (2007) 146-173; St. Petersburg Math. J. 19 (2008) 603-623. dvi
  20. (with Issam Louhichi) Characterizations of Bergman space Toeplitz operators with harmonic symbols, J. Reine Angew. Math. 617 (2008) 1-26. dvi pdf
  21. A computation of Poisson kernels for some standard weighted biharmonic operators in the unit disc, arXiv:0707.0414; Complex Var. Elliptic Equ. 53 (2008) 545-564. dvi pdf
  22. An expansive multiplier property for operator-valued Bergman inner functions, Math. Nachr. 282 (2009) 1451-1460. dvi
  23. On the shift semigroup on the Hardy space of Dirichlet series, Acta Math. Hungar. 128 (2010) 265-286. pdf
  24. (with Olof Giselsson) On some Bergman shift operators, Complex Anal. Oper. Theory 6 (2012) 829-842. pdf
  25. (with Jens Wittsten) Poisson integrals for standard weighted Laplacians in the unit disc, J. Math. Soc. Japan, to appear. pdf
  26. (with Aron Wennman) An operator inequality for weighted Bergman shift operators, Rev. Mat. Iberoam., to appear. pdf
  27. Differential operators for a scale of Poisson type kernels in the unit disc, J. Anal. Math., to appear. pdf
  28. (with Aron Wennman) Operator identities for standard weighted Bergman shift and Toeplitz operators, J. Operator Theory, to appear. pdf

At present I have no preprints available.

I can be contacted by e-mail or phone:

E-mail: olofsson@maths.lth.se
Phone (office, Lund): +46 (0)46 222 7791

My research is currently supported by G.S. Magnusons Fund of the Royal Swedish Academy of Sciences. During the past years my research has enjoyed support from several sanctioning bodies including: EU Research Training Network Analysis and Operators (contract no. HPRN-CT-2000-00116), M.E.N.R.T. (France), TMR Network Nonlinear Parabolic Equations (contract no. ERB 4061 PL 97-0159), Institut Mittag-Leffler, G.S. Magnusons Fund of the Royal Swedish Academy of Sciences and Göran Gustafsson Foundation.

Last updated: December 18, 2012.