Weighted norm inequalities for the Opdam-Cherednik transform

Shyam Swarup Mondal, Anirudha Poria*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


In this paper, we study several weighted norm inequalities for the Opdam-Cherednik transform. We establish different versions of the Heisenberg-Pauli-Weyl inequality for this transform. In particular, we give an extension of this inequality using weights with different exponents and present a variation of the inequality that incorporates Lp-norms for the Opdam-Cherednik transform. Also, we prove a version of the Hardy-Littlewood inequality for this transform. Finally, we give other variations of the Heisenberg-Pauli-Weyl inequality such as the Nash-type and Clarkson-type inequalities for the Opdam-Cherednik transform.

Original languageEnglish
Article number2250066
JournalInternational Journal of Mathematics
Issue number9
Publication statusPublished - 1 Aug 2022


  • Hardy-Littlewood inequality
  • Heisenberg-Pauli-Weyl inequality
  • Opdam-Cherednik transform
  • uncertainty principle
  • weighted norm inequalities


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