Rahul Garg

activity

20092026

most citedOn the role of Riesz potentials in Poisson's equation and Sobolev embeddings

14 citations · 61 across the 17 of their papers we have counts for

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Showing 2014Show all

3 papers · 1 filter

math.NT2014

The lattice point counting problem on the Heisenberg groups

Rahul Garg, Amos Nevo, Krystal Taylor

We consider the radial and Heisenberg-homogeneous norms on the Heisenberg groups given by $N_{α, A} ((z, t)) = (∣ z ∣^{α} + A ∣ t ∣^{α /2})^{1/ α}$ , for $α \geq 2$ and $A > 0$ . This nat…

math.FA2014★ 14 cited

On the role of Riesz potentials in Poisson's equation and Sobolev embeddings

Rahul Garg, Daniel Spector

In this paper, we study the mapping properties of the classical Riesz potentials acting on $L^{p}$ -spaces. In the supercritical exponent, we obtain new "almost" Lipschitz continuity…

math.AP2014★ 14 cited

On regularity of solutions to Poisson's equation

Rahul Garg, Daniel Spector

In this note, we announce new regularity results for some locally integrable distributional solutions to Poisson's equation. This includes, for example, the standard solutions obta…