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Harmonic Analysis

Petermichl Stefanie, Prof. Dr.

Chair Holder

Prof. Dr. Stefanie Petermichl

Holder of the Chair
Chair for Mathematics II
Emil-Fischer-Straße 40
97074 Würzburg
Building: 40 (Mathematik Ost)
Room: 01.008
Portrait Stefanie Petermichl

  • Harmonic Analysis
  • Probability

  • K. Domelevo, A. Osekowski, S. Petermichl,
    Various sharp estimates for semi-discrete Riesz transforms of the second order,
    50 years with Hardy spaces, Oper. Theory Adv. Appl., 261, Birkhaeuser-Springer, (2018), pp.229-255.

  • K. Domelevo, S. Petermichl,
    Differential Subordination under Change of Law,
    Ann. Probab. 47, (2019), no. 2, pp.896-925.

  • I. Holmes, S. Petermichl, B. Wick,
    Weighted little bmo and two-weight inequalities for Journe commutators,
    Anal. PDE 11, (2018), no. 7, pp.1693-1740.

  • M. Dindos, S. Petermichl, J. Pipher,
    The BMO solvability and the A condition for second order parabolic operators,
    Ann. Inst. H. Poincare Anal. Non Lineaire 34, (2017), no. 5, pp.1155-1180.

  • Y. Ou, S. Petermichl,
    Little BMO and Journe Commutators,
    Harmonic analysis, function theory, operator theory, and their applications
    ,
    Theta Ser. Adv. Math., 19, (2017), pp.207-219.

  • F. Nazarov, S. Petermichl, S. Treil, A. Volberg,
    Convex body domination and weighted estimates with matrix weight,
    Adv. Math. 318, (2017), pp.279-306.

  • K. Domelevo, S. Petermichl, J. Wittwer,
    A dimensionless weighted bound for the Riesz vector in ℝn,
    Bull. Sci. Math. 141, (2017), no. 5, pp.385-407.

  • N. Arcozzi, K. Domelevo, S. Petermichl,
    Sharp Lp estimates for second order Riesz transforms on multipley-connected Lie groups,
    Potential Anal. 45, (2016), no. 4, pp.777-794.

  • F. Bernicot, D. Frey, S. Petermichl,
    Sharp Weighted Norm Estimates beyond Calderon-Zygmund Theory,
    Anal. PDE 9, (2016), no. 5, pp.1079-1113.

  • Y. Ou, S. Petermichl, E. Strouse,
    Higher Order Journe Commutators and multi-parameter BMO,
    Adv. Math. 291, (2016), pp.24-58.

  • K. Bickel, S. Petermichl, B. Wick,
    Bounds for the Hilbert transform with matrix A2 weights,
    J. Funct. Anal. 270, (2016), no. 5, pp.1719-1743.

  • K. Domelevo, S. Petermichl,
    Sharp Lp estimates for discrete second order Riesz transforms,
    Adv. Math. 262, (2014), pp.932-952.

  • K. Domelevo, S. Petermichl,
    Sharp Lp estimates for discrete second order Riesz transforms,
    C.R. Math. Acad. Sci. Paris 352, (2014), no. 6, pp.503-506.

  • L. Dalenc, S. Petermichl,
    A lower bound criterion for iterated commutators,
    J. Funct. Anal. 266, (2014), pp.5300-5320.

  • M. Lacey, S. Petermichl, J. Pipher, B. Wick,
    Multi-parameter Div-Curl Lemmas,
    Bull. London Math. Soc. 10, (2012), pp.1123-1131.

  • S. Petermichl, L. Slavin, B. Wick,
    New estimates for the Beurling-Ahlfors operator on differential forms,
    J. Operator Theory 65, (2011), no. 2, pp.307-324.

  • M. Lacey, S. Petermichl, M. del Carmen Reguera-Rodriguez,
    Sharp A2 inequality for Haar Shift Operators,
    Math. Ann. 348, (2010), no. 1, pp.127-141.

  • M. Lacey, S. Petermichl, J. Pipher, B. Wick,
    Iterated Riesz Commutators: a simple proof of boundedness,
    Contemp. Math., 505, Amer. Math. Soc., Providence, RI, (2010), pp.171-178.

  • M. Lacey, S. Petermichl, J. Pipher, B. Wick,
    Higher order Riesz commutators,
    Amer. J. Math. 131, (2009), no. 3, pp.731-769.

  • S. Petermichl, J. Wittwer,
    Heating of the Beurling operator: Sufficient conditions for the two weight case,
    Studia Math. 186, (2008), no. 3, pp.203-217.

  • S. Petermichl, B. Wick,
    A dimension-free bound for the weighted Lusin area integral on the unit ball of ℂn,
    Ark. Mat. 45 (2007), no. 2, pp.337-350.

  • S. Petermichl, S. Treil, B. Wick,
    Carleson potentials and the reproducing kernel thesis for embedding theorems,
    Illinois J. Math. 51 (2007), no. 4, pp.1249-1263.

  • S. Petermichl, M. Dindos, J. Pipher,
    A p-adapted Square function and the Lp Dirichlet problem,
    J. Funct. Anal. 249, (2007), no. 2, pp.372-392.

  • S. Petermichl,
    The Sharp Weighted Bound for the Riesz Transforms,
    Proc. Amer. Math. Soc. 136, (2008), no. 4, pp.1237-1249.

  • O. Dragicevic, S. Petermichl, A. Volberg,
    A Rotation Method which Gives Linear Lp-Estimates for Powers of the Ahlfors-Beurling Operator,
    J. Math. Pures Appl. (9) 86, (2006), no. 6, pp.492-509.

  • S. Petermichl,
    The Sharp Bound for the Hilbert Transform on Weighted Lebesgue Spaces in Terms of the Classical Ap Characteristic,
    Amer. J. Math. 129, (2007), no. 5, pp.1355-1375.

  • O. Dragicevic, L. Grafakos, M.C. Pereyra and S. Petermichl,
    Extrapolation and Sharp Norm Estimates for Classical Operators on Weighted Lebesgue Spaces,
    Publ. Mat., 49, (2005), no.1, pp.73-91.

  • S. Petermichl, S. Treil, A. Volberg,
    Why are the Riesz Transforms Averages of the Dyadic Shifts?,
    Publ. Mat., Vol. Extra, (2002), pp.209-228.

  • S. Petermichl, A. Volberg,
    Heating of the Beurling Operator: Weakly Quasiregular Maps on the Plane are Quasiregular,
    Duke Math. J. Vol. 112, (2002), No 2, pp.281-305.

  • S. Petermichl, S. Pott,
    An Estimate for Weighted Hilbert Transform via Square Functions,
    Trans. Amer. Math. Soc 354, (2002), pp.1699-1703.

  • S. Petermichl, S. Pott,
    A Version of Burkholder's Theorem for Operator-weighted Spaces,
    Proc. Amer. Math. Soc. 13,1 (2003), no.11 pp.3457-3461.

  • S. Petermichl, J. Wittwer,
    A Sharp Estimate for Weighted Hilbert Transform via Bellman Functions,
    Mich. Math. J. 50, (2002), pp.71-87.

  • S. Petermichl,
    Dyadic Shifts and a Logarithmic Estimate for Hankel Operators with Matrix Symbol,
    Comptes Rendus Acad. Sci. Paris, t.330, (2000), no.1, pp.455-460. (Compte Rendu original)

  • K. Dahmani, K. Domelevo, S. Petermichl, K. Skreb,
    Dimensionless Lp estimates for the Riesz vector on manifolds,
    preprint (2019).

  • S. Petermichl, S. Pott, M. Reguera,
    A matrix weighted bilinear Carleson Lemma and Maximal Function,
    to appear (2019).

  • K. Domelevo, P. Ivansvilli, S. Petermichl, S. Treil, A. Volberg,
    On the failure of lower square function estimates in the non homogenous weighted setting,
    to appear Math. Ann. (2019).

  • T. Hytonen, S. Petermichl, A. Volberg,
    The sharp square function estimate with matrix weight,
    to appear discrete analysis (2019).

  • K. Domelevo, S. Petermichl,
    Continuous-Time Sparse Domination,
    preprint (2019) submitted.

  • N. Arcozzi, K. Domelevo, S. Petermichl,
    Discrete Hilbert Transform a la Gundy-Varopoulos,
    accepted (2018) Proceedings AMS.

  • O. Dragicevic, S. Petermichl, A. Volberg,
    Sharp estimates for martingale transforms in higher dimensions and applications to the Beurling operator,
    preprint (2008).

  • 2019-2025 Humboldt Chair, Würzburg, Germany
  • 2017-2022 European Research Council (ERC) Consolidator Grant
  • 2017 MSRI, Research Professor
  • 2015-2016 Hausdorff Institut Bonn, grant for one month per year for a group of four
  • 2012-2017 Institut Universitaire de France (IUF)
  • 2008-2016 Agence Nationale de la Recherche (ANR)
  • 2006 Banff: Research in Teams, group of four
  • 2006-2007 National Science Foundation (NSF) personal research grant
  • 2002-2005 National Science Foundation (NSF) personal research grant
  • 2006 National Science Foundation Young Investigator grant (YI)
  • 2001-2002 NSF grant at the Institute for Advanced Study, Princeton
  • 1991-1996 Fellowship Studienstiftung des deutschen Volkes

  • 2018 Douglas lecture series at Texas AM.
  • 2018 ICM invited lecture
  • 2018 Humboldt Chair
  • 2016 European Research Council (ERC)
  • 2015 Plenary Speaker European Math Society-London Math Society (EMS-LMS)
  • 2012 Institut Universitaire de France (IUF)
  • 2012 Ernest Dechelle prize of the French academy of science (Academie des Sciences)
  • 2006 Salem prize