Prof. Dr. Lutz Weis
Office hour for students: Tuesday 13.00 - 14.00 Room: 3A-15 Allianz-Gebäude (05.20) Tel.: +49 721 608 3821 Fax.: +49 721 608 6177 Email: lutz.weis@math.uni-karlsruhe.de	Kaiserstraße 89 76133 Karlsruhe

Welcome on the homepage of Lutz Weis


Semester	Titel	Typ
Summer Semester 2010	Dynamik und Zufall: Stochastische Differentialgleichungen
	Seminar (Analysis)	Seminar
	Seminar (Forschungsseminar Funktionalanalysis)	Seminar
	Kollegseminar des Graduiertenkollegs	Seminar
Winter Semester 2009/10	Fourieranalysis II
	Seminar (Analysis)	Seminar
	Oberseminar Funktionalanalysis	Seminar
	Kollegseminar des Graduiertenkollegs	Seminar
Summer Semester 2009	Fourieranalysis
	Seminar (Forschungsseminar Funktionalanalysis)	Seminar
	Proseminar (Analysis)	Proseminar

Research

Areas of research

Functional analysis and its applications to partial differential equations.
Operator semigroups and its applications to Stability and Regularity of the Cauchy problem.
Spectral theory, in particular $H^\infty$ -calculus for sectorial operators.
Vectorvalued harmonic analysis and its connection with Geometry of Banach spaces.
Stochastic Evolution Equations with infinite-dimensional state space.

Selected publications

Books and Book chapters

P. Kunstmann and L. Weis: Maximal $L_p$ Regularity for parabolic equations, Fourier multiplier theorems and $H^\infty$ functional calculus, in : Functional Analytic Methods for Evolution Equations (Levico), 65-312 Lecture Notes in Mathematics 1855

Recent Articles

C. Kaiser and L. Weis, Wavelet transforms for functions with values in UMD spaces, to appear in Studia Math.
N. Kalton, J. van Neerven, M. Veraar and L. Weis, Embedding vector valued Besov spaces into spaces of $\gamma$ -radonifying operators, to appear in Math. Nachr.
J. van Neerven, M. Veraar and L. Weis, Stochastic integration in UMD Banach spaces, Ann. Prob. 35 (2007), No. 4, 1438-1478.
A. Fröhlich and L. Weis, $H^\infty$ -calculus and dilations, Bull. Soc. Math. France 134 (2006), No. 4, 485-506.
T. Hytoenen and L. Weis, Singular convolution integrals with operator-valued kernels, Math. Zeit. 255 (2007), No. 2, 393-425.
Z. Strkalj and L. Weis, On operator-valued Fourier multiplier theorems, Trans. Am. Math. Soc. 359 (2007), No. 8, 3529-3547.
T. Hytoenen and L. Weis, A $T1$ theorem for integral transformations with operator-valued kernel, J. Reine Angew. Math. 599 (2006), 155-200.
N. J. Kalton, P. C. Kunstmann and L. Weis, Perturbation and interpolation results for the $H^\infty$ -calculus with applications to partial differential equations, Math. Ann. 336 (2006), No. 4, 747-801.
T. Hytoenen and L. Weis, Singular integrals on Besov space, Math. Nachr. 279 (2006), No. 5-6, 581-598.
J. Dettweiler, L. Weis and J. van Neerven, Space-time regularity of solutions of the parabolic stochastic Cauchy problem, Stoch. Anal. Appl. 24 (2006), No. 4, 843-869.
J.M.A.M. van Neerven and L. Weis, Invariant measures for the linear stochastic Cauchy problem and $R$ -boundedness of the resolvent, J. Evol. Equ. 6 (2006), No. 2, 205-228.
J.M.A.M. van Neerven and L. Weis, Stochastic integration of functions with values in a Banach space, Studia Math. 166 (2005), No. 2, 131-170.
J.M.A.M. van Neerven and L. Weis, Weak limits and integrals of Gaussian covariances in Banach spaces, Probab. Math. Statist. 25 (2005), No. 1, 55-74.
T. Kucherenko and L. Weis, Real interpolation of domains of sectorial operators on $L_p$ -spaces, J. Math. Anal. Appl. 310 (2005), No. 1, 278-285.
M. Girardi and L. Weis, Operator-valued martingale transforms and $R$ -boundedness'', Illinois J. of Math. 49 (2005), No. 2, 487-516 (electronic).