Tuomas Hytönen: Publications

Articles in refereed 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 L^p 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, Anisotropic Fourier multipliers and singular integrals for vector-valued functions,
   Annali di matematica pura ed applicata, published online (2006).


10. T. Hytönen, L. Weis, Singular convolution integrals with operator-valued kernel,
    Mathematische Zeitschrift, published online (2006).


11. T. Hytönen, L. Weis, A T1 theorem for integral transformations with operator-valued kernel,
    Journal für die reine und angewandte Mathematik, to appear.


12. T. Hytönen, Littlewood-Paley-Stein theory for semigroups in UMD spaces,
    Revista Matemática Iberoamericana, to appear.



Articles in refereed edited volumes

13. T. Hytönen, Reduced Mihlin-Lizorkin multiplier theorem in vector-valued L^p 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.

Doctoral dissertation

• T. Hytönen, Translation-invariant operators on spaces of vector-valued functions,
  Helsinki University of Technology Institute of Mathematics Research Report A458, Espoo, 2003.