I am currently an Assistant Professor of Mathematics in the Department of Mathematical Sciences at Kannur University, a position I have held since June .
Prior to this role, I pursued postdoctoral fellowships at prestigious institutions. At the Indian Statistical Institute, Bangalore, I served as a Research Associate and Visiting Scientist (–) and earlier as a Visiting Scientist (–). My postdoctoral experience also includes positions at the Indian Institute of Science (IISc), Bangalore, where I worked as a National Postdoctoral Fellow and Research Associate (–) and as a Research Associate (–). Additionally, I contributed as a Visiting Scientist at the Kerala School of Mathematics, Kozhikode, in –.
I completed my Ph.D. in Mathematics at the National Institute of Science Education and Research (NISER), Bhubaneswar, in . Earlier, I earned an M.Sc. in Mathematics from the University of Hyderabad () and a B.Sc. in Mathematics from the University of Calicut, Kerala ().
Contact Information
Department of Mathematical Sciences
Kannur University, Mangattuparamba campus
Kannur, Kerala, 670567 India
E-mail: anoopvp@kannuruniv.ac.in
Research
Interests
Hardy inequalities, Analysis on Dunkl operators, Analysis on h-harmonics, Harmonic analysis on Heisenberg group
Published Articles
- Anoop V.P. and Sanjay Parui, Hardy inequality and trace Hardy inequality for Dunkl gradient, Collectanea Mathematica (). [Link]
- Anoop V.P. and Sanjay Parui, Hardy inequality and fractional Hardy inequality for Dunkl Laplacian, Israel Journal of Mathematics (). [Link]
- Anoop V. P., Saswata Adhikari and Sanjay Parui, Existence of extremals of Dunkl-type Sobolev inequality and of Stein-Weiss inequality for Dunkl Riesz potential, Complex Analysis and Operator Theory (). [Link]
- Anoop V. P. and Sanjay Parui, Improved fractional Hardy inequalities for Dunkl gradient, Mathematical Inequalities and Applications (). [Link]
- Anoop V. P. and Sanjay Parui, Hardy-Littlewood-Sobolev inequality for upper half space, Annales Mathématiques Blaise Pascal (). [Link]
Communicated Articles
- Anoop V.P., Sanjay Parui, Stein-Weiss type inequalities for Dunkl operators.
Under Preparation
- Anoop V.P., Sanjay Parui, Hardy-type inequalities for Weinstein operator.
- Anoop V.P., Stein-Weiss type inequalities with fractional Poisson kernel.
- Anoop V.P., Saswata Adhikari, Fractional Hardy inequalities in convex domains.
Talks Given
- Hardy inequality and fractional Hardy inequality for Dunkl Laplacian, Inter IISER-NISER Math Meet, IISER Bhopal, India ().
- Hardy and fractional Hardy inequality for Dunkl Laplacian, Discussion Meeting on Harmonic Analysis, IISc Bangalore, India ().
Teaching
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Abstract Algebra - II
Department of Mathematical Sciences, Kannur University
– -
Abstract Algebra - I
Department of Mathematical Sciences, Kannur University
–
Programs organized
Summer Workshop in Mathematics (SWIM@KSoM)
I am one of the organizers of the Summer Workshop in Mathematics (SWIM@KSoM), a rigorous instructional program held at Kannur University (Thavakkara campus). The workshop provides an in-depth exploration of fundamental areas like Mathematical Analysis, Abstract Algebra, and Linear Algebra, complemented by problem-solving sessions. The next edition is scheduled from to .
For more information, visit the official website: swim-ksom.github.io