National Post Doctoral Fellow, Indian Statistical Institute, Delhi Centre

Email: vivek AT isid.ac.in

I’m Vivek Sahu, currently a N-PDF (National Post-Doctoral Fellowship) Fellow in the Theoretical Statistics and Mathematics Unit at the Indian Statistical Institute, Delhi Centre, India, under the mentorship of Prof. Debdip Ganguly. My Research interests are Fractional Hardy Inequalities, Fractional Sobolev Spaces, Non-local Problems. I defended my Ph.D. thesis on "Study of Hardy inequalities on fractional Sobolev space and functions of bounded variation" under the supervision of Prof. Prosenjit Roy, on 28th July 2025.

Home-page: https://sites.google.com/view/viveksahu/home

orcid id: 0009-0001-9547-8108

Available papers (7):

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• A. Adimurthi - P. Roy - V. Sahu (Journal of Functional Analysis)
  Fractional boundary Hardy inequality for the critical cases (2026)
• M. Kijaczko - V. Sahu (Communications in Contemporary Mathematics)
  Weighted fractional Hardy-Sobolev and Hardy-Sobolev-Maz'ya inequalities with singularities on flat submanifold (2026)
• A. Adimurthi - P. Roy - V. Sahu (Calculus of Variations and Partial Differential Equations)
  Fractional Hardy inequality with singularity on submanifold (2026)
• V. Sahu (preprint)
  Fractional Sobolev logarithmic inequalities (2025)
• A. Adimurthi - P. Roy - V. Sahu (Communications on Pure and Applied Analysis)
  The Trudinger type inequality in fractional boundary Hardy inequality (2025)
• V. Sahu (Journal of Mathematical Analysis and Applications)
  Weighted fractional Hardy inequalities with singularity on any flat submanifold (2025)
• A. Adimurthi - P. Roy - V. Sahu (Accepted Paper: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE)
  Boundary Hardy inequality on functions of bounded variation (2024)