Research

Papers:

• B. Jaye, T. Merchán, Small local action of singular integrals on spaces of non-homogeneous type, submitted. https://arxiv.org/pdf/1810.13272.pdf
• B. Jaye, T. Merchán, On the problem of existence in principal value of a Calderón-Zygmund operator on a space of non-homogeneous type, Accepted. Proc. London Math. Soc. https://arxiv.org/pdf/1810.13299.pdf
• B. Jaye, T. Merchán. On the Huovinen transform and rectifiability, preprint.

Presentations:

• Talk at Harmonic Analysis and PDEs, University of Helsinki, Finland, June 2019.
• Talk at AMS Sectional Meeting: Special Session on Regularity Theory of PDEs and Calculus of Variations on Domains with Rough Boundaries, University of Connecticut, CT, April 2019.
• Talk at Geometric and Harmonic Analysis, University of Connecticut, CT, March 2019.
• Talk at Analysis Seminar, Clemson University, SC, January 2019.
• Talk at Mid Atlantic Analysis Meeting 2018, Virginia Tech, VA, November 2018.
• Talk at Seminario IMUS, Universidad de Sevilla, Spain, June 2018.
• Talk at Workshop on Real Harmonic Analysis and its Applications to Partial Differential Equations and Geometric Measure Theory: on the occasion of the 60th birthday of Steve Hofman, ICMAT, Spain, June 2018.
• Talk at Graduate Student Seminar, Kent State University, OH, May 2018.
• Talk at Measure Theory Seminar, Kent State University, OH, April 2018.
• Talk at 34th Southeastern Analysis Meeting (SEAM) conference, Georgia Tech, GA, March 2018.
• Talk at Non-linear Analysis Seminar, Kent State University, OH, April 2017.