Research Papers 📝

Weighted kernel functions on planar domains (with K. Verma). Submitted. [arXiv]

A note on kernel functions of Dirichlet spaces (with S. Gehlawat and A.D. Sarkar). J. Math. Anal. Appl. 543 (2025), no. 2, part 1, Paper No. 128897, 9 pp. [Journal] and [arXiv].

Weighted Szegő kernels on planar domains (with K. Verma). Illinois J. Math. 69 (2025), no. 2, 235–268. [Journal] and [arXiv]

A study on holomorphic isometries of weighted Bergman metrics (with K. Verma).  J. Korean Math. Soc. 61 (2024), no. 6, 1171–1201. [Journal] and [arXiv].

Boundary behaviour of weighted Bergman kernels (with K. Verma). To appear in the Rocky Mountain Journal of Mathematics. [arXiv].

The reduced Bergman kernel and its properties (with S. Gehlawat and A.D. Sarkar).  Internat. J. Math. 34 (2023), no. 3, Paper No. 2350015, 23 pp. [Journal] and [arXiv].

Transformation formula for the reduced Bergman kernel and its application (with S. Gehlawat and A.D. Sarkar).  Anal. Math. 48 (2022), no. 4, 1055–1068. [Journal] and [arXiv].