Research

Research Interests: Several Complex Variables, Harmonic Analysis, Partial Differential Equations

Selected Publications:

1. 1. (with Y. Yuan) Stein's theorem on infinite type domains, Comm. Anal. Geom., 32 (5) 2024, 1233--1254.

   2. (with S. Krantz and Y. Yuan) Lp regularity of the Bergman projection on domains covered by the polydisc, J. Funct. Anal. 279(2) 2020, article 108522.

   3. (with J. McNeal) Product domains, Multi-Cauchy transforms, and the d-bar equation, Adv. Math. 360 2020, article 106930.

   4. (with J. McNeal) A solution operator for d-bar on the Hartogs triangle and Lp estimates, Math. Ann. 376 2020, 407--430.

   5. Weighted Sobolev regularity of the Bergman projection on the Hartogs triangle, Pacific J. Math. 288(2) 2017, 307--318.

Preprints & Papers in preparation:

• 1. The Bergman projection on a class of Hartogs domains: singularity in higher dimensional factor.

  2. The p-Szego kernel on the unit ball in Cn.

  3. The σ-weighted p-Bergman kernel on the unit ball in Cn.

  4. Hardy spaces for log-integrable measures on domains in Cn.

  5. (with Y. Yuan) Hardy spaces and Szego projection on quotient domains. (pdf)

Complete List of Publications