TY - JOUR
T1 - Weighted norm inequalities for the Opdam-Cherednik transform
AU - Swarup Mondal, Shyam
AU - Poria, Anirudha
N1 - Publisher Copyright:
© 2022 World Scientific Publishing Company.
PY - 2022/8/1
Y1 - 2022/8/1
N2 - 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.
AB - 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.
KW - Hardy-Littlewood inequality
KW - Heisenberg-Pauli-Weyl inequality
KW - Opdam-Cherednik transform
KW - uncertainty principle
KW - weighted norm inequalities
UR - http://www.scopus.com/inward/record.url?scp=85136204689&partnerID=8YFLogxK
U2 - 10.1142/S0129167X22500665
DO - 10.1142/S0129167X22500665
M3 - Article
AN - SCOPUS:85136204689
SN - 0129-167X
VL - 33
JO - International Journal of Mathematics
JF - International Journal of Mathematics
IS - 9
M1 - 2250066
ER -