Tuomas Hytönen


Academy Research Fellow (Academy of Finland/University of Helsinki, 2009)
University Lecturer, on leave (University of Helsinki, 2009)
Doctor of Science (Helsinki University of Technology, 2003)
Docent of Mathematics (University of Turku, 2007)

Contact info

E-mail: tuomas.hytonen (at) helsinki.fi
Address (work): Department of Mathematics and Statistics, University of Helsinki, Gustaf Hällströmin katu 2b, FI-00014 Helsinki, Finland
Address (home): Purpuripolku 7-9 B 10, FI-00420 Helsinki, Finland
Official homepage in the Department staff pages.

Publications

Ordered by subject.

The linked pdf files are author's versions which may differ from the actual published articles. In many cases, the published articles can be obtained by following the link to the journal's homepage.

    Articles in journals

  1. T. Hytönen, Fourier embeddings and Mihlin-type multiplier theorems,
    Mathematische Nachrichten 274-275 (1), 74-103 (2004).
  2. T. Hytönen, Convolutions, multipliers and maximal regularity on vector-valued Hardy spaces,
    Journal of Evolution Equations 5 (2), 205-225 (2005).
  3. T. Hytönen, On operator-multipliers for mixed-norm Lp spaces,
    Archiv der Mathematik (Basel) 85 (2), 151-155 (2005).
  4. T. Hytönen, Vector-valued wavelets and the Hardy space H1(Rn,X),
    Studia Mathematica 172 (2), 125-147 (2006).
  5. T. Hytönen, L. Weis, Singular integrals on Besov spaces,
    Mathematische Nachrichten 279 (5-6), 581-598 (2006).
  6. T. Hytönen, An operator-valued Tb theorem,
    Journal of Functional Analysis 234 (2), 420-463 (2006).
  7. T. Hytönen, D. Potapov, Vector-valued multiplier theorems of Coifman-Rubio de Francia-Semmes type,
    Archiv der Mathematik (Basel) 87 (3), 245-254 (2006).
  8. T. Hytönen, C. Kaiser, New proof of the T(1) theorem for Triebel-Lizorkin spaces,
    Georgian Mathematical Journal 13 (3), 485-493 (2006).
  9. T. Hytönen, L. Weis, A T1 theorem for integral transformations with operator-valued kernel,
    Journal für die reine und angewandte Mathematik 599, 155-200 (2006).
  10. T. Hytönen, L. Weis, Singular convolution integrals with operator-valued kernel,
    Mathematische Zeitschrift 255, 393-425 (2007).
  11. T. Hytönen, Anisotropic Fourier multipliers and singular integrals for vector-valued functions,
    Annali di matematica pura ed applicata 186 (3), 455-468 (2007).
  12. T. Hytönen, J.-P. Pellonpää, K. Ylinen, Positive sesquilinear form measures and generalized eigenvalue expansions,
    Journal of Mathematical Analysis and Applications 336 (2), 1287-1304 (2007).
  13. T. Hytönen, Estimates for partial derivatives of vector-valued functions,
    Illinois Journal of Mathematics 51 (3), 731-742 (2007).
  14. T. Hytönen, Littlewood-Paley-Stein theory for semigroups in UMD spaces,
    Revista Matemática Iberoamericana 23 (3), 973-1009 (2007).
  15. T. Hytönen, P. Portal, Vector-valued multiparameter singular integrals and pseudo-differential operators,
    Advances in Mathematics 217 (2), 519-536 (2008).
  16. T. Hytönen, A. McIntosh, P. Portal, Kato's square root problem in Banach spaces,
    Journal of Functional Analysis 254 (3), 675-726 (2008).
  17. T. Hytönen, L. Weis, On the necessity of property (alpha) for some vector-valued multiplier theorems,
    Archiv der Mathematik (Basel) 90 (1), 44-52 (2008).
  18. T. Hytönen, J.-P. Pellonpää, K. Ylinen, Diagonalization and representation results for nonpositive sesquilinear form measures,
    Journal of Mathematical Analysis and Applications 338 (1), 716-725 (2008).
  19. T. Hytönen, M. Veraar, On Besov regularity of Brownian motions in infinite dimensions,
    Probability and Mathematical Statistics 28 (1), 143-162 (2008).
  20. T. Hytönen, J. van Neerven, P. Portal, Conical square function estimates in UMD Banach spaces and applications to Hoo-functional calculi,
    Journal d'Analyse Mathématique 106, 317-351 (2008).
  21. T. Hytönen, On Petermichl's dyadic shift and the Hilbert transform,
    Comptes Rendus Mathématique, Académie des Sciences, Paris 346 (21-22), 1133-1136 (2008).
  22. T. Hytönen, M. Veraar, R-boundedness of smooth operator-valued functions,
    Integral Equations and Operator Theory 63 (3), 373-402 (2009).
  23. T. Hytönen, J. L. Torrea, D. V. Yakubovich, The Littlewood-Paley-Rubio de Francia property of a Banach space for the case of equal intervals,
    Proceedings of the Royal Society of Edinburgh: Section A Mathematics 139 (4), 819-832 (2009).

    24. Articles in proceedings

  24. T. Hytönen, Reduced Mihlin-Lizorkin multiplier theorem in vector-valued Lp spaces,
    Partial Differential Equations and Functional Analysis, The Philippe Clément Festschrift (eds. E. Koelink, J. van Neerven, B. de Pagter, G. Sweers), 137-151,
    Operator Theory: Advances and Applications, 168, Birkhäuser, Basel, 2006.
  25. T. Hytönen, Vector-valued singular integrals, and the border between the one-parameter and the multi-parameter theories,
    CMA/AMSI Research Symposium "Asymptotic Geometric Analysis, Harmonic Analysis and Related Topics" (Murramarang, NSW, 2006) (eds. A.McIntosh, P. Portal), 11-41,
    Proceedings of the Centre for Mathematics and its Applications, 42, Australian National University, Canberra, 2007.
  26. T. Hytönen, Aspects of probabilistic Littlewood-Paley theory in Banach spaces,
    Banach Spaces and their Applications in Analysis. In Honor of Nigel Kalton's 60th Birthday. (eds. B. Randrianantoanina, N. Randrianantoanina), 343-355,
    de Gruyter Proceedings in Mathematics, Walter de Gruyter, Berlin, 2007.

    27. Preprints

    Can be found at arXiv.org.
Tuomas Hytönen