3 papers
math.MG2026
Tangents to Lipschitz and Sobolev images
Matthew Badger, Jared Krandel, Vyron Vellis
We develop geometric versions of Rademacher and Calderon type differentiability theorems in two categories. A special case of our results is that for any Lipschitz or continuous $W…
math.CA2025
Lipschitz decompositions of domains with bilaterally flat boundaries
Jared Krandel
We study classes of domains in with sufficiently flat boundaries that admit a decomposition or covering of bounded overlap by Lipschitz graph domains…
math.MG2024
Weak Carleson conditions in uniformly rectifiable metric spaces: the WCD and alpha numbers
Jared Krandel
We investigate characterizations of uniformly rectifiable (UR) metric spaces by so-called weak Carleson conditions for flatness coefficients which measure the extent to which Hausd…