Brandon Sweeting

Brandon Sweeting

NSF MPS-Ascend Postdoctoral Research Fellow, Mathematics

Washington University in St. Louis

About me

I am an NSF MPS-Ascend postdoctoral research fellow in mathematics at Washington University in St. Louis, where I work under the mentorship of Brett Wick. Previously, I was a postdoctoral researcher at the University of Alabama, mentored by David Cruz-Uribe. I earned my Ph.D. in Mathematics from the University of Cincinnati in 2021, under the supervision of Leonid Slavin.

My research interests are in harmonic analysis–specifically, weighted norm inequalities for singular integral operators and Riesz potentials in both the scalar and operator weighted setting.

Interests
  • Harmonic Analysis
  • Weighted Norm Inequalities
  • Bellman Function Techniques
  • Interpolation & Extrapolation
Education

  • PhD in Mathematics, 2021

    University of Cincinnati

  • BA in Mathematics, 2014

    University of South Florida

Publications & Preprints

On those Weights Satisfying a Weak-Type Inequality for the Maximal Operator and Fractional Maximal Operator
We establish the sufficiency of conditions for certain weighted weak (p,p) inequalities for the maximal operator and fractional maximal operators when p > 1, completing a characterization posed by Muckenhoupt and Wheeden.
Brandon Sweeting
PDF arXiV
Weighted weak-type bounds for multilinear singular integrals
We prove multilinear analogs of sharp weighted weak-type bounds for singular integrals in both the change of measure and the multiplier setting. Our results hold for any multilinear operator satisfying a sparse form domination.
Zoe Nieraeth, Cody B. Stockdale
PDF arXiV
Weighted weak-type inequalities for maximal operators and singular integrals
We prove quantitative, one-weight, weak-type estimates for maximal operators, singular integrals, fractional maximal operators and fractional integral operators.
David Cruz-Uribe, Brandon Sweeting
PDF arXiV
Sharp dyadic estimates via non-infinitesimal Bellman majorants
We obtain new sharp estimates for a family of Carleson sequences related to dyadic $A_2$ weights. The proof uses Bellman functions, but unlike the typical situation found in literature, in our setting these functions do not have infinitesimal extremal splits and do no arise as solutions of a PDE. This is a continuation of the work of the first author.
Leonid Slavin, Brandon Sweeting

Contact