Daniel Spector

activity

20152020

L^{1}

embeddings in the subelliptic setting

2 citations · 2 across the 2 of their papers we have counts for

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math.CA2020

On the dimensional weak-type $(1, 1)$ bound for Riesz transforms

Daniel Spector, Cody B. Stockdale

Let $R_{j}$ denote the $j^{th}$ Riesz transform on $R^{n}$ . We prove that there exists an absolute constant $C > 0$ such that \begin{align*} |\{|R_jf|>λ\}|\leq C\left(\fr…

math.CA2019

A Noninequality for the Fractional Gradient

Daniel Spector

In this paper we give a streamlined proof of an inequality recently obtained by the author: For every $α \in (0, 1)$ there exists a constant $C = C (α, d) > 0$ such that \begin{align*} \|u…

On the dimensional weak-type (1,1) bound for Riesz transforms

A Noninequality for the Fractional Gradient

On the dimensional weak-type $(1, 1)$ bound for Riesz transforms