TY  - Type of reference 
TI  - Generalized Pitt’s inequality for the Gabor transform 
AU  - Ashish Bansal
 
AU  - Ajay Kumar 
AB  - The generalized forms of Pitt’s inequality for the $$$L^p$$$-Gabor transform on the groups of the form $$$ℝ^n; ℝ^n \times K, K$$$ being a Lie group of type I, in particular, a connected nilpotent Lie group; Heisenberg motion group and diamond Lie groups have been established. 
DO  - 10.21494/ISTE.OP.2026.1393 
JF  - Advances in Pure and Applied Mathematics 
KW  - Diamond Lie groups, Fourier transform, Gabor transform, Hausdorff-Young inequality, Heisenberg motion group, Nilpotent Lie groups, Pitt’s inequality, Diamond Lie groups, Fourier transform, Gabor transform, Hausdorff-Young inequality, Heisenberg motion group, Nilpotent Lie groups, Pitt’s inequality,  
L1  - https://www.openscience.fr/IMG/pdf/iste_apam26v17n1_3.pdf 
LA  - en 
PB  - ISTE OpenScience 
DA  - 2026/01/13 
SN  - 1869-6090 
TT  - L’inégalité de Pitts généralisée pour la transformation de Gabor 
UR  - https://www.openscience.fr/Generalized-Pitt-s-inequality-for-the-Gabor-transform 
IS  - Issue 1 (January 2026) 
VL  - 17 
ER  -