Publications

Publica= tions
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&nb= sp;

Structure and s= pectral theory of hyponormal multivariable weighted shi= fts,
       168 pp. Ph.D. Dissertation (August, 2003).
Subnormality of Bergman-like weighted shifts,
       J. Math. Anal. Appl. 30= 8(2005), 334-342 (with R.E. Curto & Y. Poon).
$k$-hyponormal= ity of multivariable weighted shifts,
       J. Funct. Anal. 15(2005), 462-480 (with R.E. Curto & S.H. Lee).
Disintegration-of-measure technique= s for commuting multivariable weighted shifts,
       Proc. London Math. Soc. 92(2006), 38= 1-402 (with R.E. Curto).
Jointly hypono= rmal pairs of subnormal operators need not be subnormal,
       Trans. Amer. Math. Soc. 358(2006), 5139-5159 (with R.E. Curto).
Spectral pictures of $2$-variable weighted shifts,
       C. R. Acad. Sci. Paris 343(2006), 579–584 (w= ith R.E. Curto).
Schur p= roduct techniques for commuting multivariable weighted shifts,
       J. Math. Anal. Appl. 333(200<= span style=3D'font-family:"Albertus Medium";mso-fareast-font-family:Batang'>7), 626-641<= /span>.

Hyponormality<= /span> and subnormality for powers of pairs of subnorm= al operators,
J. Funct. Anal. 245(2007), 390-412 (with R.E. Cu= rto & S.H. Lee).

Propagation phenomena for hyponormal $2$-variable weighted shifts,
J. Operator Theory; 58:1(200= 7), 101-130<= /span> (with R.E. Cu= rto).

Reconstruction of the Berger measur= e when the core is of tensor form,
to appear in Oper. Theory Adv. Appl.; 15 pp. in prepr= int form (with R.E. Curto & S.H. Lee).

Disintegration of measures and contractive $2$-variable weighted shifts,
       to appear in Integral Equations Operator Theory; 18 pp. in preprint form.
Quadratically<= /span> hyponormal may not be positively quadratically hyponormal in recursively generated weighted sh= ifts,
       to appear in Integral Equations Operator Theory; 12 pp. in preprint form (with Y. Poon).
Which $2$-hyponormal $2$-variable weighted shifts are subnormal ?,
       submitted; 11 pp. in preprint form (with R.E. Curto & S.H. Lee).

3D"*" Which hyponorm= al 2-variable weighted shifts are invariant= under powers ?,
approximately 25 pp. in preprint form (with R.E. Curto).

3D"*" Which hyponorm= al operators are subnormal ?,
       approximately 27 pp. in preprint form (with R.E. Curto & S.H. Le= e).
Spectral pictures of non-hyponormal multivariable weighted shifts,
       approximately 22 pp. in preprint form (with R.E. Curto).
Spectral pictures of subnormal multivariable weighted shifts,
       approximately 20 pp. in preprint form (with R.E. Curto).
A solution of the quadratically hyponormal completion problem with two equal we= ights and its application,
       approximately 11 pp. in preprint form (with Y. = Poon).
Existence of subnormal $2$-variable weig= hted shifts with $9$ prescribed initial weights,
       approximately 13 pp. in preprint form (with R.E. Curto & S.H. Lee).
Spectral pictures of hyponormal multivariable weighted shifts,
       approximately 38 pp. in preprint form (with R.E. Curto).
Propagation phe= nomena for weighted shifts,
       in preparation (with Y. Poon).
$2$-variable weighted shifts with flatness,
       in preparation.
Completion problem of finite Hankel partial contraction,
       in preparation.

The gap theory = of multivariable operators,
       in preparation.
Note on weak $k$-hyponormality in multivariable operators,
       in preparation.
Double commuta= nts of multivariable weighted shifts,
       in preparation. (with R.E. Curto).