Research Papers 📝

On the weighted Szegő kernel (A problem submitted for the Bench Math Session 2025 held at Jagiellonian University, Kraków). To appear in the Concrete Operators.

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].