Philip T. Gressman

most citedSharp

L^{p}

L^{q}

estimates for generalized

k

-plane transforms

2 citations · 2 across the 1 of their papers we have counts for

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math.CA2009★ 1 cited

Uniform geometric estimates for sublevel sets

Philip T. Gressman

This paper reconsiders the uniform sublevel set estimates of Carbery, Christ, and Wright (1999) and Phong, Stein, and Sturm (2001) from a geometric perspective. This perspective le…

math.CA2008★ 3 cited

$L^{p}$ -improving estimates for averages on polynomial curves

Philip T. Gressman

In the combinatorial method proving of $L^{p}$ -improving estimates for averages along curves pioneered by Christ (IMRN, 1998), it is desirable to estimate the average modulus (with r…

math.CA2007★ 2 cited

Sharp $L^{p}$ - $L^{q}$ estimates for generalized $k$ -plane transforms

Philip T. Gressman

In this paper, optimal $L^{p} - L^{q}$ estimates are obtained for operators which average functions over polynomial submanifolds, generalizing the $k$ -plane transform. An important advan…

Uniform geometric estimates for sublevel sets

Lp-improving estimates for averages on polynomial curves

Sharp Lp-Lq estimates for generalized k-plane transforms

$L^{p}$ -improving estimates for averages on polynomial curves

Sharp $L^{p}$ - $L^{q}$ estimates for generalized $k$ -plane transforms