R. Kesler

activity

20102018

most citedSparse Bounds for the Discrete Cubic Hilbert Transform

13 citations · 61 across the 11 of their papers we have counts for

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Showing 2016Show all

5 papers · 1 filter

math.CA2016★ 13 cited

Sparse Bounds for the Discrete Cubic Hilbert Transform

Amalia Culiuc, Robert Kesler, Michael T. Lacey

Consider the discrete cubic Hilbert transform defined on finitely supported functions $f$ on $Z$ by \begin{eqnarray*} H_3f(n) = \sum_{m \not = 0} \frac{f(n- m^3)}{m}. \end…

math.CA2016

Generic Multilinear Multipliers Associated to Degenerate Simplexes

Robert M. Kesler

For each $1 \leq p \leq \infty$ , let $W_{p} (R) = {f \in L^{p} (R) : f^\in L^{p^{'}} (R)}$ with norm $||f||_{W_{p}(\mathbb{R})} = ||\ha…

math.CA2016

Unboundedness Theorems for Symbols Adapted to Large Subspaces

Robert M. Kesler

For every integer $n \geq 3$ , we prove that the n-sublinear generalization of the Bi-Carleson operator of Muscalu, Tao, and Thiele given by nC^{\vecα} :(f_1,..., f_n) \mapsto \sup_…

math.CA2016

L^p Estimates for Semi-Degenerate Simplex Multipliers

Robert M. Kesler

Muscalu, Tao, and Thiele prove $L^{p}$ estimates for the "Biest" operator defined on Schwartz functions by the map \begin{align*} \hspace{5mm} C^{1,1,1}:& (f_1, f_2, f_3) \mapsto \in…

math.CA2016

Restricted Carleson Variations at Endpoint and Discretized Hilbert Transforms in the Plane

Robert M. Kesler

We provide elementary proofs that the 2-variation Carleson operator $V_{2}$ along with explicit bilinear multipliers adapted to ${ξ_{1} + ξ_{2} = 0}$ satisfy no $L^{p}$ estimates. Furthe…