Daniel Spector

activity

20142023

most citedAn

L^{1}

-type estimate for Riesz potentials

35 citations · 165 across the 26 of their papers we have counts for

collaborators

Showing 2014 · math.FAShow all

3 papers · 2 filters

math.FA2014★ 35 cited

An $L^{1}$ -type estimate for Riesz potentials

Armin Schikorra, Daniel Spector, Jean Van Schaftingen

In this paper we establish new $L^{1}$ -type estimates for the classical Riesz potentials of order $α \in (0, N)$ : \[ \|I_αu\|_{L^{N/(N-α)}(\mathbb{R}^N)} \leq C \|Ru\|_{L^1(\mathbb{R}…

math.FA2014

A Leray-Trudinger Inequality

Georgios Psaradakis, Daniel Spector

We consider a multidimensional version of an inequality due to Leray as a substitute for Hardy's inequality in the case $p = n \geq 2.$ In this paper we provide an optimal Sobolev-type…

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…

An L1-type estimate for Riesz potentials

A Leray-Trudinger Inequality

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

An $L^{1}$ -type estimate for Riesz potentials