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20112021
most citedDimension free boundedness of Riesz transforms for the Grushin operator

3 citations · 8 across the 4 of their papers we have counts for

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math.FA2011★ 2 cited

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…

math.FA2011★ 2 cited

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…