Sun-Yung Alice Chang
Department of Mathematics, Princeton University
email: chang@math.princeton.edu
Office Phone: 609-258-5114
MathSciNet Home Page
Recent preprints
(Differential Geometry)
Recent preprints
(Analysis of PDE)
New Papers
- Sun-Yung
A. Chang , Jie Qing and Paul Yang, ``On finiteness of Kleinian groups
in general dimension," preprint 2002, to appear in the Crelles Journal.[pdf]
- Sun-Yung A. Chang, C.C. Chen aand C. S. Lin, ``Extremal functions
for a mean field equation in two dimension,'' Lecture on Partial
Differential equations in honor of Louis Nirenberg's 75th birthday,
Chapter 4, International Press, 2003.[pdf]
- Sun-Yung A. Chang, Matt Gursky and Paul Yang ``Entire solutions
of a fully non-linear equation,'' Lecture on Partial Differential
Equations in honor of Louis Nirenberg's 75th birthday, Chapter 3,
International Press, 2003.[pdf]
- Sun-Yung A. Chang , Matt Gursky and Paul Yang , ``A conformally
invariant sphere theorem in four dimensions'', to appear Publications
de
l'IHES, 2003. [pdf]
- Sun-Yung A. Chang and Paul Yang, ``Non-linear Partial
Differential
equations in Conformal Geometry", Proceedings for ICM 2002, Beijing,
volume I, pp 189-209.[pdf]
- Sun-Yung A. Chang, Jie Qing and Paul Yang, ``On the topology of
conformally compact Einstein 4-manifolds", preprint 2003. To appear in
the Proceeding of Conference in honor of H.Brezis and F. Browder.[pdf]
- Sun-Yung A. Chang , Fengbo Hang and Paul Yang , `` On a class of
locally conformallyflat manifolds", to appear IMRN, 2003.[pdf]
List of Publications
- S.Y.A. Chang, "A characterization of Douglas subalgebras," Acta
Math.
137
(1976) pp. 81-89.
- S.Y.A. Chang, "On the structure and characterization of some
Douglas
subalgebras,"
Amer. J. Math. 99 (1977) pp. 530-578.
- S.Y.A. Chang, "Structure of subalgebras between $L^\infty$ and
$H^\infty,"$
Trans. Amer. Math. Soc. 227 (1977) pp. 319-332.
- S.Y. Chang and D.E. Marshall, "Some algebras of bounded analytic
functions
containing the disk algebra," in "Banach Spaces of Analytic Functions,
J. Baker, C. Cleaver and J. Diestel (eds.), Lecture Notes in
Mathematics,
Vol. 604, Springer-Verlag, (1977) pp. 12-20.
- S.Y.A. Chang and J.B. Garnett, "Analyticity of functions and
subalgebras
of $L^\infty$ containing $H^\infty,$" Proc. Amer. Math. Soc. 72 (1978)
pp. 41-45.
- S. Axler, S.Y.A. Chang and D. Sarason, "Products of Toeplitz
operators,"
Integral Equations and Operator Theory 1 (1978) pp. 285-309.
- S.Y.A. Chang, "Structure of some subalgebra of $L^\infty$ of the
torus,"
in "Harmonic Analysis in Euclidean Spaces", Proceedings of Symposia in
Pure Mathematics, Vol. 35, Amer. Math. Soc., (1979) pp. 421-425.
- S.Y.A. Chang, "Carleson measure on the bi-disc," Ann. of Math.
109
(1979)
pp. 613-620.
- S.Y.A. Chang and R. Fefferman, "On a continuous version of
duality of
$H^1$
with BMO on the bidisc," Ann. of Math. 112 (1980) pp. 179-201.
- S.Y.A. Chang, "A generalized area integral estimate and
applications,"
Studia Math. 69 (1980) pp. 109-121.
- A. Chang, M.M. Schiffer and G. Schober, "On the second variation
for
univalent
functions," J. Analyse Math. 40 (1981) pp. 203-238.
- S.Y.A. Chang and R. Fefferman, "The Calder\'on-Zygmund
decomposition on
product domains," Amer. J. Math. 104 (1982) pp. 455-468.
- S.Y.A. Chang, "Two remarks about $H^1$ and BMO on the bidisc," in
"Proceedings
of Conference on Harmonic Analysis in Honor of Antoni Zygmund", Vol.
II,
Beckner, Calder\'on, Fefferman and Jones (eds.), Wadsworth, 1983, pp
373-393.
- S.Y.A. Chang and Z.Ciesielski," Spline characterization of
$H^1,"$
Studia
Math. 75, (1983) pp. 180-192.
- S.Y.A. Chang and R. Fefferman, "Some recent developments in
Fourier
analysis
and $H^p$ theory on the product domains," Bull. Amer. Math. Soc. 12,
No.
1 (1985) pp. 1-43.
- S.Y.A. Chang, M. Wilson and T. Wolff, "Weighted norm inequalities
related
to Schroedinger operators," Comm. Math. Helv. 60, (1985) pp. 217-246.
- S.Y.A. Chang and D. Marshall, "On a sharp inequality concerning
the
Dirichlet
integral," Amer. J. Math. (1985) pp. 1015-1033.
- T. Carbery, S.Y.A. Chang and J. Garnett, "Weights and L log L,"
Pacific
J. Math. 120, (1985) pp. 33-45.
- L. Carleson and S.Y.A. Chang, "On the existence of an extremal
function
for an inequality of J. Moser," Bull. Sci. Math. 110, (1986) pp.
113-127.
- B. Berndtsson, S.Y.A. Chang and K.C. Lin, "Interpolating
sequences on
the
polydisk," Trans. Am. Math. Soc. 302, (1987) pp. 161-169.
- S.Y.A. Chang and P.C. Yang, "Prescribing Gaussian curvature on
$S^2$",
Acta Math. 159 (1987), pp 215-259.
- S.Y.A. Chang, "Extremal function in a sharp form of Sobolov
inequality",
in Proceeding of International Congress of Mathematician, I.C.M. 1986,
pp. 715-723.
- S.Y.A. Chang and P.C. Yang, "Conformal deformation of metrics on
S$^2$,"
J. Diff. Geometry 27, (1988) pp. 259-296.
- S.Y.A. Chang and P. C. Yang, "Compactness of isospectral
conformal
metrics
on S$^3$", Comm. Math Helv., 64, (1989) pp. 363-374.
- S.Y.A. Chang and P.C. Yang, "The conformal deformation equation
and
isospectral
set of conformal metrics", Contemporary Mathematics, Vol. 101, Vol.
101,
1989, pp 165-178.
- S.Y.A. Chang and P.C. Yang, "Isospectral Conformal Metrics on
3-manifolds"
J. of AMS 3, (1990) pp. 117-145.
- Sun-Yung A. Chang and Paul C. Yang, "A perturbation result in
prescribing
scalar curvature on $S^n$," Duke J. of Math. 64 (1991) 27-69.
- Thomas Branson, Sun-Yung A. Chang and Paul C. Yang, "Estimates
and
extremal
problems for the log-determinant on 4-manifolds,". Communication
Math.Physics,
Vol. 149, No.2, 1992, pp 241-262.
- Sun-Yung A. Chang and Paul C. Yang, "Spectral invariants of
conformal
metrics,"
Proceedings of Satellite Conferences of the International Congress of
Math.,
Kyoto, (1990), pp 51-60.
- Sun-Yung A.Chang, Matt Gursky and Paul C.Yang, " Prescribing
scalar
curvature
on $S^2$ and $S^3$", Calculus of Variation, 1, 1993, pp 205-229 [ps].
- Sun-Yung A. Chang, Matt Gursky and Thomas Wolff, "Lack of
compactness
in
conformal metrics with $L^(d/2)$ curvature", Journal of Geometric
Analysis,
Vol 4, No.2, 1994, pp 143-154.
- Sun-Yung A. Chang and Paul C.Yang, Addendum to " A Perturbation
result
in prescribing scalar curvature on $S^n$", Duke Math J. 71, 1993, pp
333-335.
- Sun-Yung A. Chang, "Moser Trudinger inequality and applications
to some
problems in conformal geometry", Nonlinear Partial Differential
Equations,
Hardt and Wolf editors, AMS IAS/Park city Math series, vol 2, pp 67-125
[ps].
- Sun-Yung A. Chang and Paul C.Yang," Extremal metrics of zeta
function
determinants
on 4-manifolds", Annals of Math. 142 (1995), pp 171-212.
- Sun-Yung A. Chang, Xing-Wang Xu and Paul C.Yang, "Perturbation
Results
for Prescribing Mean Curvature ", Math. Annalen 310 (1998) pp 473-496.
- Sun-Yung A. Chang, Matt Gursky and Paul C.Yang, " Remarks on a
fourth
order
invariant in conformal geometry", Aspects of
Mathematics, edited by N. Mok,
Hong Kong University, Proceedings of a conference in Algebra, Geometry
and
Several Complex Variable, (June, 1996) pp. 353-372.
- Sun-Yung A. Chang and Jie Qing, "Zeta functional determinants on
manifolds
with boundary ", Research announcement, Math. Research Letters, 3
(1996),
{\bf 3} (1996) pp. 1-17.
- Sun-Yung A. Chang and Jie Qing, "The Zeta functional determinants
on manifolds
with boundary I--the formula", JFA 147, No. 2, (1997), pp 327-362
- Sun-Yung A. Chang and Jie Qing, "The Zeta functional determinants
on manifolds
with boundary II--Extremum metrics and compactness of isospectral set",
JFA 147, No. 2, (1997), pp 363-399
- Sun-Yung A. Chang and Paul C.Yang, " Extremal metrics of zeta
functional
determinants", Survey article, Geometry from the Pacific Rim, Eds.:
Berrick
/Loo/Wang, Walter de Gruyter Co., Berlin, New York 1997, pp 37-57.
- Sun-Yung A. Chang, "On zeta functional determinants", Lecture
notes to
appear in the Proc. of Summer Lecture Series in Analysis, Fields
Institute,
Toronto, 1995 [ps].
- Sun-Yung A. Chang and Paul C. Yang, "On uniqueness of solution of
a
n-th
order differential equation in conformal geometry", Math. Research
Letters,
{\bf 4} (1997) pp. 91-102.
- Sun-Yung A. Chang, " On Paneitz operator--a fourth order
differential operator
in conformal geometry", Harmonic Analysis and Partial Differential
Equations;
Essays in honor of Alberto P. Calderon, Editors: M Christ, C Kenig and
C. Sadorsky; Chicago Lectures in Mathematics, 1999, Chapter 8, pp
127-150
[ps].
- Sun-Yung A. Chang, Matt Gursky and Paul C.Yang, " Regularity of a
fourth
order PDE with critical exponent", American Journal of Math, 121
(1999),
pp 215-257 [ps].
- Sun-Yung A. Chang, Lihe Wang and Paul C. Yang, "Regularity of
harmonic
maps", CPAM, LII (1999), pp. 1099-1111 [ps].
- Sun-Yung A. Chang, Lihe Wang and Paul C. Yang, " Regularity of
bi-harmonic
maps to spheres", CPAM, LII (1999), pp. 1113-1137 [ps].
- Sun-Yung A. Chang and Paul C. Yang, "On a fourth order curvature
invariant
", Comp. Math. 237, Spectral Problems in Geometry and Arithmetic, Ed:
T.
Branson , AMS, (1999) pp 9-28 [ps].
- Sun-Yung A. Chang, Jie Qing and Paul C. Yang, "On the
Chern-Gauss-Bonnet
integral for conformal metrics on $R^4$ ", Duke Math Journal, vol 103,
No. 3 (2000), pp 65-93 [ps].
- Sun-Yung A. Chang, Jie Qing and Paul C. Yang, "Compactification
for a
class
of conformally flat 4-manifold ", Inventiones Mathematicae, 142 (2000),
pp 65-93 [ps].
- Sun-Yung A. Chang and Paul C. Yang, "Fourth order equations in
conformal
geometry", Seminaires et Congres 4 (2000), Global Analysis and Harmonic
Analysis, J.P. Bourguignon, T. Branson, O. Hijazi (Eds); pp 155-165 [ps].
- Sun-Yung A. Chang and Wenxiong Chen, "A note on a class of Higher
order
conformally covariant equations,'' Discreet and Continuous Dynamical
systems,
Vol. 7, No. 2, (April 2001), pp. 275-281.
[ps].
- Sun-Yung A. Chang, Matt Gursky and Paul Yang, ``An equation of
Monge-Ampere type in
conformal geometry, and four-manifolds of positive Ricci curvature,''
{\it Annals of Math.}, Vol. 155, No. 3, May (2002) pp. 711-789.
[ps].
- Sun-Yung A. Chang and Paul Yang, ``Partial Differential Equations
related to the
Gauss-Bonnet-Chern integral on 4-manifolds,'' Conformal, Riemannian
and Lagrangian Geometry, {\it AMS},
University lecture series Vol
27. The 2000 Barrett Lectures, pp 1-29.
[ps]
- Sun-Yung A. Chang, " An article in memory of Thomas Wolff", {\it
Notices AMS}, Vol.
48, No. 5, (2001) pp. 485-486.
- Sun-Yung
A. Chang , Jie Qing and Paul Yang, ``On finiteness of Kleinian groups
in general dimension," preprint 2002, to appear in the Crelles Journal.
- Sun-Yung
A. Chang, Matt Gursky and Paul Yang, "A prior estimate for a
class of nonlinear equations on 4-manifolds," Journal D'Analyse Journal
Mathematique, special issue in memory of Thomas Wolff, Vol 87(2002),
pp. 151-186.
- Sun-Yung A. Chang, C.C. Chen aand C. S. Lin, ``Extremal functions
for a mean field equation in two dimension,'' Lecture on Partial
Differential equations in honor of Louis Nirenberg's 75th birthday,
Chapter 4, International Press, 2003.
- Sun-Yung A. Chang, Matt Gursky and Paul Yang ``Entire solutions
of a fully non-linear equation,'' Lecture on Partial Differential
Equations in honor of Louis Nirenberg's 75th birthday, Chapter 3,
International Press, 2003.
- Sun-Yung A. Chang and Paul Yang, ``The inequality of Moser
and Trudinger and applications to conformal geometry,'' Comm.
Pure and Applied Math., Vol LVI, no. 8, August 2003, pp
1135-1150; Special issue dedicated to the memory of Jurgen K.
Moser.
- Sun-Yung A. Chang , Matt Gursky and Paul Yang , ``A conformally
invariant spheretheorem in four dimensions'', to appear Publications de
l'IHES, 2003.
- Sun-Yung A. Chang and Paul Yang, ``Non-linear Partial
Differential
equations in Conformal Geometry", Proceedings for ICM 2002, Beijing,
volume I, pp 189-209.[pdf]
- Sun-Yung A. Chang, Jie Qing and Paul Yang, ``On the topology of
conformally compact Einstein 4-manifolds", preprint 2003. To appear in
the Proceeding of Conference in honor of H.Brezis and F. Browder.
- Sun-Yung A. Chang , Fengbo Hang and Paul Yang , `` On a class of
locally conformallyflat manifolds", to appear IMRN, 2003.