Dr. Tino Ullrich

Address:	Hausdorff Center for Mathematics Endenicher Allee 60 53115 Bonn Germany
Office:	LWK 4.025
Phone:	+49 228 73 62244
E-Mail:	tino.ullrichhcm.uni-bonn.de

News

Best Paper Award 2010 of the Journal of Complexity for the paper The Gelfand widths of lp-balls for 0 < p <=1 by Simon Foucart, Alain Pajor, Holger Rauhut and Tino Ullrich.

Announcement of the course on Wavelets, WS 2010/2011

CV

since Oct. 2008
PostDoc at Hausdorff-Center for Mathematics in Bonn
2007-2008
PostDoc at Complutense University Madrid (supported by DAAD)
2007
Research Assistant at FSU Jena (supported by DFG)
2004-2007
PhD-Studies at Friedrich-Schiller-University Jena
PhD-Degree (2007)
2001-2004
Mathematics at Friedrich-Schiller-University Jena
Diploma (2004)
1999-2001
Mathematics and Computer Science at Technical University of Ilmenau,

Teaching

WS 2010/2011:
Course Advanced Topics in Scientific Computing - Wavelets
Announcement
SS 2009:
Exercise to Lecture Advanced Topics in Scientific Computing - Approximation Theory
Announcement
Exercise 1
Exercise 2
Exercise 3
Exercise 4
WS 2008/2009:
Post-graduate Seminar Graduate Seminar on Scientific Computing - Wavelets
(Announcement)

Publications

Preprints:

[1] Y. Liang, Y. Sawano, T. Ullrich, D. Yang, and W. Yuan. New characterizations of Besov-Triebel-Lizorkin-Hausdorff spaces including coorbits and wavelets. Preprint, pages 1-46, 2011.
[ bib | .pdf 1 ]

[2] T. Ullrich. Local mean characterization of Besov-Triebel-Lizorkin type spaces with dominating mixed smoothness on rectangular domains. Preprint, pages 1-26, 2008.
[ bib | .pdf 1 ]

Journal Papers:

[1] D. Dung and T. Ullrich. Whitney type inequalities for local anisotropic polynomial approximation. Journ. Approx. Theory, to appear.
[ bib | .pdf 1 ]

[2] T. Ullrich. Continuous characterizations of Besov-Lizorkin-Triebel spaces and new interpretations as coorbits. Journ. Function Spaces and Applications, to appear.
[ bib | .pdf 1 ]

[3] W. Sickel and T. Ullrich. Spline interpolation on sparse grids. Applicable Analysis, to appear.
[ bib | .pdf 1 ]

[4] T. Ullrich and H. Rauhut. Generalized coorbit space theory and inhomogeneous function spaces of Besov-Lizorkin-Triebel type. J. Funct. Anal., 260(11):3299-3362, 2011.
[ bib | DOI | .pdf 1 ]

[5] S. Foucart, A. Pajor, H. Rauhut, and T. Ullrich. The Gelfand widths of l_p-balls for 0 < p <=1. J. Complexity, 26:629-640, 2010.
[ bib | DOI | .pdf 1 ]

[6] F. Cobos, C. Richter, and T. Ullrich. Reiteration formulae for interpolation methods associated to polygons. Journal of Mathematical Analysis and Applications, 352:773-787, 2009.
[ bib | .pdf 1 ]

[7] F. Cobos, L. M. Fernandez-Cabrera, T. Kuehn, and T. Ullrich. On an extreme class of real interpolation spaces. Journal of Functional Analysis, 256:2321-2366, 2009.
[ bib | .pdf 1 ]

[8] W. Sickel and T. Ullrich. Tensor products of Sobolev-Besov spaces and applications to approximation from the hyperbolic cross. Journal of Approximation Theory, 161:748-786, 2009.
[ bib | .pdf 1 ]

[9] T. Ullrich. Smolyak's algorithm, sampling on sparse grids and Sobolev spaces of dominating mixed smoothness. East Journal on Approximations, 14(1):1-38, 2008.
[ bib | .pdf 1 ]

[10] W. Sickel and T. Ullrich. The Smolyak algorithm, sampling on sparse grids and function spaces of dominating mixed smoothness. East Journal on Approximations, 13(4):387-425, 2007.
[ bib | .pdf 1 ]

Thesis:

[1] T. Ullrich. Smolyak's algorithm, sparse grid approximation and periodic function spaces with dominating mixed smoothness. Friedrich-Schiller-Universität Jena, 2007. PhD thesis.
[ bib | .pdf 1 ]

[2] T. Ullrich. Über die periodische Interpolation auf schwach besetzten Gittern mittels de la Vallée Poussin-Kernen. Friedrich-Schiller-Universität Jena, 2004. Diploma thesis.
[ bib | .pdf 1 ]

Other Reports:

[1] T. Ullrich. Function spaces with dominating mixed smoothness, characterization by differences. Technical report, Jenaer Schriften zur Math. und Inform., Math/Inf/05/06, 2006.
[ bib | .pdf 1 ]

[1]	Y. Liang, Y. Sawano, T. Ullrich, D. Yang, and W. Yuan. New characterizations of Besov-Triebel-Lizorkin-Hausdorff spaces including coorbits and wavelets. Preprint, pages 1-46, 2011. [ bib \| .pdf 1 ]
[2]	T. Ullrich. Local mean characterization of Besov-Triebel-Lizorkin type spaces with dominating mixed smoothness on rectangular domains. Preprint, pages 1-26, 2008. [ bib \| .pdf 1 ]

[1]	D. Dung and T. Ullrich. Whitney type inequalities for local anisotropic polynomial approximation. Journ. Approx. Theory, to appear. [ bib \| .pdf 1 ]
[2]	T. Ullrich. Continuous characterizations of Besov-Lizorkin-Triebel spaces and new interpretations as coorbits. Journ. Function Spaces and Applications, to appear. [ bib \| .pdf 1 ]
[3]	W. Sickel and T. Ullrich. Spline interpolation on sparse grids. Applicable Analysis, to appear. [ bib \| .pdf 1 ]
[4]	T. Ullrich and H. Rauhut. Generalized coorbit space theory and inhomogeneous function spaces of Besov-Lizorkin-Triebel type. J. Funct. Anal., 260(11):3299-3362, 2011. [ bib \| DOI \| .pdf 1 ]
[5]	S. Foucart, A. Pajor, H. Rauhut, and T. Ullrich. The Gelfand widths of l_p-balls for 0 < p <=1. J. Complexity, 26:629-640, 2010. [ bib \| DOI \| .pdf 1 ]
[6]	F. Cobos, C. Richter, and T. Ullrich. Reiteration formulae for interpolation methods associated to polygons. Journal of Mathematical Analysis and Applications, 352:773-787, 2009. [ bib \| .pdf 1 ]
[7]	F. Cobos, L. M. Fernandez-Cabrera, T. Kuehn, and T. Ullrich. On an extreme class of real interpolation spaces. Journal of Functional Analysis, 256:2321-2366, 2009. [ bib \| .pdf 1 ]
[8]	W. Sickel and T. Ullrich. Tensor products of Sobolev-Besov spaces and applications to approximation from the hyperbolic cross. Journal of Approximation Theory, 161:748-786, 2009. [ bib \| .pdf 1 ]
[9]	T. Ullrich. Smolyak's algorithm, sampling on sparse grids and Sobolev spaces of dominating mixed smoothness. East Journal on Approximations, 14(1):1-38, 2008. [ bib \| .pdf 1 ]
[10]	W. Sickel and T. Ullrich. The Smolyak algorithm, sampling on sparse grids and function spaces of dominating mixed smoothness. East Journal on Approximations, 13(4):387-425, 2007. [ bib \| .pdf 1 ]

[1]	T. Ullrich. Smolyak's algorithm, sparse grid approximation and periodic function spaces with dominating mixed smoothness. Friedrich-Schiller-Universität Jena, 2007. PhD thesis. [ bib \| .pdf 1 ]
[2]	T. Ullrich. Über die periodische Interpolation auf schwach besetzten Gittern mittels de la Vallée Poussin-Kernen. Friedrich-Schiller-Universität Jena, 2004. Diploma thesis. [ bib \| .pdf 1 ]