T. Anderson

activity

20102023

ℓ^{p}

-Boundedness for Integral

k

-Spherical Maximal Functions

16 citations · 67 across the 27 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.CA2019★ 1 cited

Sparse bounds for discrete singular Radon transforms

Theresa C. Anderson, Bingyang Hu, Joris Roos

We show that discrete singular Radon transforms along a certain class of polynomial mappings $P : Z^{d} \to Z^{n}$ satisfy sparse bounds. For $n = d = 1$ we can handle all p…

math.CA2019★ 12 cited

Bounds for discrete multilinear spherical maximal functions in higher dimensions

Theresa C. Anderson, Eyvindur Ari Palsson

We find the sharp range for boundedness of the discrete bilinear spherical maximal function for dimensions $d \geq 5$ . That is, we show that this operator is bounded on $l^{p}(\mat…

math.CA2019

Bounds for discrete multilinear spherical maximal functions

Theresa C. Anderson, Eyvindur Ari Palsson

We define a discrete version of the bilinear spherical maximal function, and show bilinear $l^{p} (Z^{d}) \times l^{q} (Z^{d}) \to l^{r} (Z^{d})$ bounds for $d \ge…