References
- Krantz SG. Geometric analysis of the Bergman kernel and metric. New York: Springer; 2013. (Graduate texts in mathematics; 268).
- Charpentier P, Dupain Y. Estimates for the Bergman and Szegö projections for pseudoconvex domains of finite type with locally diagonalizable Levi form. Publ Mat. 2006;50:413–446. doi: 10.5565/PUBLMAT_50206_08
- Fefferman C. The Bergman kernel and biholomorphic mappings of pseudoconvex domains. Invent Math. 1974;26:1–65. doi: 10.1007/BF01406845
- Khanh TV, Liu J, Thuc PT. Bergman-Toeplitz operators on weakly pseudoconvex domains. Math Z. 2019;291:591–607. doi: 10.1007/s00209-018-2096-z
- McNeal JD. Boundary behavior of the Bergman kernel function in C2. Duke Math J. 1989;58:499–512. doi: 10.1215/S0012-7094-89-05822-5
- McNeal JD. Estimates on the Bergman kernels of convex domains. Adv Math. 1994;109(1):108–139. doi: 10.1006/aima.1994.1082
- McNeal JD, Stein EM. Mapping properties of the Bergman projection on convex domains of finite type. Duke Math J. 1994;73:177–199. doi: 10.1215/S0012-7094-94-07307-9
- Phong DH, Stein EM. Estimates for the Bergman and Szegö projections on strongly pseudo-convex domains. Duke Math J. 1977;44:695–704. doi: 10.1215/S0012-7094-77-04429-5
- Chen L, Krantz SG, Yuan Y. Lp regularity of the Bergman Projection on domains covered by the polydisk. J Funct Anal. 2020. http://doi.org/10.1016/j.jfa.2020.108522.
- Krantz SG, Peloso MM. The Bergman kernel and projection on non-smooth worm domains. Houston J Math. 2008;34:873–950.
- Krantz SG, Peloso MM. New results on the Bergman kernel of the worm domain in complex space. Electron Res Announc Math Sci. 2007;14:35–41.
- Lanzani L, Stein EM. Szegö and Bergman projections on non-smooth planar domains. J Geom Anal. 2004;14:63–86. doi: 10.1007/BF02921866
- Beberok T. Lp boundedness of the Bergman projection on some generalized Hartogs triangles. Bull Iranian Math Soc. 2017;43:2275–2280.
- Chakrabarti D, Zeytuncu YE. Lp mapping properties of the Bergman projection on the Hartogs triangle. Proc Amer Math Soc. 2016;144:1643–1653. doi: 10.1090/proc/12820
- Chen L. The Lp boundedness of the Bergman projection for a class of bounded Hartogs domains. J Math Anal Appl. 2017;448:598–610. doi: 10.1016/j.jmaa.2016.11.024
- Edholm LD. Bergman theory of certain generalized Hartogs triangles. Pacific J Math. 2016;284:327–342. doi: 10.2140/pjm.2016.284.327
- Edholm LD, McNeal JD. The Bergman projection on fat Hartogs triangles: Lp boundedness. Proc Amer Math Soc. 2016;144:2185–2196. doi: 10.1090/proc/12878
- Edholm LD, McNeal JD. Bergman subspaces and subkernels: degenerate Lp mapping and zeroes. J Geom Anal. 2017;27:2658–2683. doi: 10.1007/s12220-017-9777-4
- Tang Y, Tu Z. Special Toeplitz operators on a class of bounded Hartogs domains. Arch Math. 2019. https://doi.org/10.1007/s00013-019-01424-4.
- Park J-D. The explicit forms and zeros of the Bergman kernel for 3-dimensional Hartogs triangles. J Math Anal Appl. 2018;460:954–975. doi: 10.1016/j.jmaa.2017.12.002
- Khanh TV, Liu J, Thuc PT. Bergman-Toeplitz operators on fat Hartogs triangles. Proc Amer Math Soc. 2019;147:327–338. doi: 10.1090/proc/14218
- Zhu K. Spaces of holomorphic functions in the unit ball. New York: Springer; 2005. (Graduate texts in mathematics; 226).