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math.CA2026
Spherical maximal operators on rank one Riemannian symmetric spaces of noncompact type
Subir Dakshi, Sanjoy Pusti
The spherical maximal operator of order was introduced by El Kohen in the setting of real hyperbolic spaces, where its -boundedness properties were studied. In this paper,…
math.FA2026
- Schwartz spaces on split rank one semisimple symmetric spaces
Sanjoy Pusti, Iswarya Sitiraju
We study the left -invariant -Schwartz space and its Fourier transform on split rank one semisimple symmetric spaces for . We explicitly determine the kern…
math.FA2026
Weighted Norm Inequalities for the Strichartz Fourier transform on the Heisenberg Group
Aparajita Dasgupta, Prerna Gulia, Sanjoy Pusti +1
In this article, we establish an analogue of Pitt's inequality for the Strichartz Fourier transform on the Heisenberg group . By exploiting the scalar-valued formulat…