3 citations · 8 across the 4 of their papers we have counts for
4 papers
Injectivity of spherical means on H-type groups
E. K. Narayanan, P. K. Sanjay, K. T. Yasser
We establish injectivity results for three different spherical means on an -type group, . First is the standard spherical means which is defined to be the average of a functi…
Dimension free boundedness of Riesz transforms for the Grushin operator
P. K. Sanjay, S. Thangavelu
Let be the Grushin operator on We prove that the Riesz transforms associated to this operator are bounded on $…
Revisiting Riesz transforms on Heisenberg groups
P. K. Sanjay, S. Thangavelu
We characterise higher order Riesz transforms on the Heisenberg group and also show that they satisfy dimension-free bounds under some assumptions on the multipliers. Using transfe…
Riesz transforms and multipliers for the Grushin operator
K. Jotsaroop, P. K. Sanjay, S. Thangavelu
We show that Riesz transforms associated to the Grushin operator G = -Δ- |x|^2\partial_t^2 are bounded on L^p(R^n+1). We also establish an analogue of Hörmander-Mihlin multiplier t…