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S. Bortz

32 papers hereh-index 9298 citations41 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • first author28
  • middle author4

Across the 32 of 32 papers where every author was matched, so the position is known.

fields
  • math.AP18
  • math.CA13
  • math.MG1

identity via Semantic Scholar / OpenAlex

activity
20152026
most citedNon-local self-improving properties: A functional analytic approach

26 citations · 52 across the 26 of their papers we have counts for

collaborators
Showing 2020Show all

3 papers · 1 filter

math.AP2020

Optimal Poisson kernel regularity for elliptic operators with Hölder-continuous coefficients in vanishing chord-arc domains

Simon Bortz, Tatiana Toro, Zihui Zhao

We show that if Ω is a vanishing chord-arc domain and L is a divergence-form elliptic operator with Hölder-continuous coefficient matrix, then logkL​∈VMO, where kL​ i…

math.CA2020

Coronizations and big pieces in metric spaces

Simon Bortz, John Hoffman, Steve Hofmann +2

We prove that coronizations with respect to arbitrary d-regular sets (not necessarily graphs) imply big pieces squared of these (approximating) sets. This is known (and due to Davi…

math.AP2020★ 3 cited

Critical Perturbations for Second Order Elliptic Operators. Part I: Square function bounds for layer potentials

Simon Bortz, Steve Hofmann, José Luis Luna Garcia +2

This is the first part of a series of two papers where we study perturbations of divergence form second order elliptic operators −divA∇ by first an…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.