• vector-valued harmonic analysis and geometry of Banach spaces

• wavelets

• Calderon-Zygmund operators

• perturbation theory for operator semigroups

List of publications as pdf-file

Störungssätze für Operatorenhalbgruppen, Dissertation, Karlsruhe 2002.

1. with L. Weis: A perturbation theorem for operator semigroups in Hilbert spaces, Semigroup Forum 67 (2003), 63-75. (ps-file) (pdf-file)
2. with L. Weis: Perturbation theorems for -times integrated semigroups, Arch. Math. 81 (2003), 215-228. (ps-file) (pdf-file)
3. Integrated semigroups and linear partial differential equations with delay, J. Math. Anal. Appl. 292 (2004), 328-339. (ps-file) (pdf-file)
4. Wavelet transforms for functions with values in Lebesgue spaces. Proceedings of SPIE Vol. 5914 (SPIE, Bellingham, WA, 2005). (ps-file) (pdf-file)
5. with T. Hytönen: New proof of the T(1) theorem for Triebel-Lizorkin spaces. Georgian Math. J. 13 (2006), 485-493. (pdf-file)

1. Calderon-Zygmund operators with operator-valued kernel on homogeneous Besov spaces. To appear in Math. Nachr. (pdf-file)
2. On an operator-valued T(1) theorem by Hytönen and Weis. To appear in Proceedings of the CMA / AMSI Research Symposium on Asymptotic Geometric Analysis, Harmonic Analysis and Related Topics, February 2006, Murramarang, Australia. (pdf-file)

1. with L. Weis: Wavelet transform for functions with values in UMD spaces.

Wavelets for functions with values in Lebesgue spaces, Wavelets XI, San Diego, August 1, 2005. (pdf-file).