Research

Publications and Preprints:

• The Laplace and Leray transforms on some (weakly) convex domains in $\mathbb{C}^2$.  J. Fourier Anal. Appl, 31(36), 2025. arxiv. 

• Dual realizations of Bergman spaces on strongly convex domains. Pre-print. arxiv 

Project reports:

• Ph.D. Thesis: 

      Some dual realizations of Bergman and Hardy spaces on convex domains via integral transforms. IISc, Bangalore.Thesis supervisor: Dr. Purvi Gupta, PDF 

• M.Sc. Project report: 

Hardy Type Inequality For Three Fractional Type Operators Using Extension Problem And Trace Hardy Inequality. IISc, Bangalore. Project supervisor: Prof. Sundaram Thangavelu, PDF