Daniel Spector

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20242026

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math.CA2026

The weak-type (1,1) bound for the Hardy--Littlewood maximal function is $O (n lo g n)$

Daniel Spector, Cody B. Stockdale

We prove a weak-type $(1, 1)$ estimate for the centered Hardy--Littlewood maximal function with respect to Euclidean balls with dimensional dependence $O (n lo g n)$ . This imp…

math.CA2026

A dimension-free weak-type $(1, 1)$ bound for the vector Riesz transform on $R^{n}$

Yuyuan Ouyang, Daniel Spector, Cody B. Stockdale

We show that the best constant in the weak-type $(1, 1)$ bound for the vector Riesz transform on $R^{n}$ is at most $2$ , independent of the dimension $n$ . The proof relies on…

The weak-type (1,1) bound for the Hardy--Littlewood maximal function is O(n​logn)

A dimension-free weak-type (1,1) bound for the vector Riesz transform on Rn

The weak-type (1,1) bound for the Hardy--Littlewood maximal function is $O (n lo g n)$

A dimension-free weak-type $(1, 1)$ bound for the vector Riesz transform on $R^{n}$