This paper is concerned with the canonical metrics on generalized Hartogs triangles. As main contributions, we first show the existence of a Kähler–Einstein metric on generalized Hartogs triangles. On the other hand, we calculate the explicit expression for Rawnsley’s
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Enchao Bi 1 ; Zelin Hou 1

@article{CRMATH_2022__360_G4_305_0, author = {Enchao Bi and Zelin Hou}, title = {Canonical metrics on generalized {Hartogs} triangles}, journal = {Comptes Rendus. Math\'ematique}, pages = {305--313}, publisher = {Acad\'emie des sciences, Paris}, volume = {360}, year = {2022}, doi = {10.5802/crmath.283}, language = {en}, }
Enchao Bi; Zelin Hou. Canonical metrics on generalized Hartogs triangles. Comptes Rendus. Mathématique, Volume 360 (2022), pp. 305-313. doi : 10.5802/crmath.283. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.283/
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- A note on the Berezin transform on the generalized Hartogs triangles, Archiv der Mathematik, Volume 122 (2024) no. 5, p. 531 | DOI:10.1007/s00013-024-01971-5
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-BOUNDEDNESS OF THE BEREZIN TRANSFORM ON GENERALISED HARTOGS TRIANGLES, Bulletin of the Australian Mathematical Society (2024), p. 1 | DOI:10.1017/s0004972724000674 - Regularity of the Berezin Transform on the Elementary Reinhardt Domains, Complex Analysis and Operator Theory, Volume 18 (2024) no. 4 | DOI:10.1007/s11785-024-01538-w
- Rawnsley’s
-Function on a Class of Bounded Hartogs Domains and its Applications, Complex Analysis and Operator Theory, Volume 18 (2024) no. 5 | DOI:10.1007/s11785-024-01562-w - The Schwarz inequalities at the boundary point of the Hartogs triangles, Complex Variables and Elliptic Equations, Volume 69 (2024) no. 8, p. 1378 | DOI:10.1080/17476933.2023.2221639
- Remarks on regular quantization and holomorphic isometric immersions on Hartogs triangles, Archiv der Mathematik, Volume 118 (2022) no. 6, p. 605 | DOI:10.1007/s00013-022-01718-0
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