Prof. Der-Chen Chang

Department of Mathematics & Statistics

Georgetown University, Washington DC, USA

Professor & Director

Email: chang@georgetown.edu

Qualifications

1983–1987 Ph.D., Department of Mathematics, Princeton University, USA

1983–1984 M.A., Department of Mathematics, Princeton University, USA

1979-1981 M.S., Department of Mathematics, National Tsing Hua University, Taiwan(China)

1975-1979 B.S., Department of Mathematics, National Tsing Hua University, Taiwan(China)

Publications (selected)

Refereed Journal Publications:

1. The edge algebra structure of the Zaremba problem, (with N. Habal and B.-W. Schulze), J.Pseudo-di erential Op. Appl., published online: DOI: 10.1007/s11868-013-0088-7, 5, #1, 69-155,(2014).
2. Boundedness of second order Riesz transforms associated to Schrodinger operators on Musielak-Orlicz-Hardy spaces, (with J. Cao, D. Yang and S. Yang), Communications on Pure and Applied Analysis, a AIMS's Journals, published online: DOI 10.3934/cpaa.2014.13.1435, 13, #4, 1435-1463,(2014).
3. Calabi-Yau theorem and Hodge-Laplacian heat equation in a closed strictly pseudo convex CR manifold, (with S.C. Chang and J. Tie), Journal of Di erential Geometry, 97, #3, 395-426,(2014).
4. Recent developments on Pseudo-Di erential Operators (I), (with W. Rungrottheera and B.-W.Schulze), to appear in Tamkang J. Math., (2014).
5. Poincare's lemma on the Heisenberg group, (with O. Calin and J. Hu), published online: DOI:10.1016/j.aam.2014.08.003, to appear in Advances in Applied Math., (2014).
6. Heat kernels for generalized Ornstein-Uhlenbeck operators, (with N. Yang), to appear in Applicable Analysis, published online: DOI 10.1080/00036811.2014.955798, (2014).
7. Riesz Transform Characterizations of Musielak-Orlicz-Hardy Spaces, (with J. Cao, D. Yang and S. Yang), to appear Transactions of AMS, (2014).
8. Corner boundary value problems, (with Tao Qian and B.-W. Schulze), to appear in Complex Analysis and Operator Theory, (2014).
9. Lq-Extensions of Lp-Spaces by Fractional Di usion Equations, (with J. Xiao), to appear in Discrete and Continuous Dynamical System - A, (2014).
10. Weak Hardy spaces WHpL(Rn) associated to operators satisfying k-Davies-Ga ney estimates, (with J. Cao, H. Wu, and D. Yang), to appear in Journal of Nonlinear and Convex Analysis, (2014).
11. Integrability conditions for Heisenberg and Grushin type distributions, (with O. Calin and M. Eastwood), Analysis & Mathematical Physics, published online: DOI 10.1007/s13324-014-0073-x, 4, #1-2, 99-114, (2014).

Books:

1. Laguerre Calculus on the Heisenberg Group, (with C. Berenstein and J. Tie), AMS/IP series in Advanced Mathematics, #22, American Mathematics Society and International Press, Cambridge, Massachusetts, ISBN 0-8218-2761-8, (2001).
2. Geometric Mechanics on Riemannian Manifolds – Applications to Partial Differential Equations, (with O. Calin), Birkh\auser-Verlag, Boston, Massachusetts, ISBN 0-8176-4354-0, (2004).
3. Geometric Analysis on the Heisenberg Group and Its Generalizations, (with O. Calin and P. Greiner), AMS/IP series in Advanced Mathematics, #40, American Mathematics Society and International Press, Cambridge, Massachusetts, ISBN-10: 0-8218-4319-2, ISBN-13: 978-0-8218-4319-2, (2007).
4. Sub-Riemannian Geometry: General Theory and Examples, (with O. Calin), Encyclopedia of Mathematics and Its Applications, 126, Cambridge University Press, Cambridge-New York-Melbourne, ISBN-10: 978-0-521-89730-3, (2009).
5. Heat Kernels for Elliptic and Sub-elliptic Operators: Methods and Techniques, (with O. Calin, K. Furutani and C. Iwasaki), Birkh\"auser-Verlag, Boston, Massachusetts, ISBN 978-0-8176-4994-4, (2010).