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

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Showing 2021 · math.FAShow all

2 papers · 2 filters

math.FA2021★ 8 cited

A trace inequality for solenoidal charges

Bogdan Raita, Daniel Spector, Dmitriy Stolyarov

We prove that for $α \in (d - 1, d]$ , one has the trace inequality \begin{align*} \int_{\mathbb{R}^d} |I_αF| \;dν\leq C |F|(\mathbb{R}^d)\|ν\|_{\mathcal{M}^{d-α}(\mathbb{R}^d)} \end{al…

math.FA2021★ 12 cited

The fractional variation and the precise representative of $B V^{α, p}$ functions

Giovanni E. Comi, Daniel Spector, Giorgio Stefani

We continue the study of the fractional variation following the distributional approach developed in the previous works arXiv:1809.08575, arXiv:1910.13419 and arXiv:2011.03928. We…

A trace inequality for solenoidal charges

The fractional variation and the precise representative of BVα,p functions

The fractional variation and the precise representative of $B V^{α, p}$ functions