Brandon Sweeting

Brandon Sweeting

Postdoctoral Researcher, Mathematics

The University of Alabama

About me

I’m a postdoctoral researcher in the analysis group at The University of Alabama working under the mentorship of David Cruz-Uribe. I received my doctorate degree 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

Talks & Travel

Multiplier Weak-Type Inequalities for Maximal Operators and Singular Integrals
We discuss a kind of weak type inequality for the Hardy-Littlewood maximal operator and Calderón-Zygmund singular integral operators that was first studied by Muckenhoupt and Wheeden and later by Sawyer.
Dec 8, 2023 — Dec 10, 2023 Georgia Institute of Technology
David Cruz-Uribe, Brandon Sweeting
Follow
Multiplier Weak-Type Inequalities for Maximal Operators and Singular Integrals
Multiplier Weak-Type Inequalities for Maximal Operators and Singular Integrals
We discuss a kind of weak type inequality for the Hardy-Littlewood maximal operator and Calderón-Zygmund singular integral operators that was first studied by Muckenhoupt and Wheeden and later by Sawyer.
Jan 3, 2023 — Jan 6, 2023 Moscone Center
David Cruz-Uribe, Brandon Sweeting
Follow
Multiplier Weak-Type Inequalities for Maximal Operators and Singular Integrals

Publications & Preprints

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
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
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

Current Teaching

MATH 485/585 - Intro to Complex Variables
Some basic notions in complex analysis. Topics include analytic functions, complex integration, infinite series, contour integration, and conformal mappings.
MATH 485/585 - Intro to Complex Variables

Contact