Revista Matemática Iberoamericana


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Volume 33, Issue 4, 2017, pp. 1397–1422
DOI: 10.4171/RMI/976

Published online: 2017-11-17

On the parabolic Lipschitz approximation of parabolic uniform rectifiable sets

Kaj Nyström[1] and Martin Strömqvist[2]

(1) Uppsala University, Sweden
(2) Uppsala University, Sweden

We prove the existence of big pieces of regular parabolic Lipschitz graphs for a class of parabolic uniform rectifiable sets satisfying what we call a synchronized two cube condition. An application to the fine properties of parabolic measure is given.

Keywords: Parabolic Lipschitz graph, parabolic uniform rectifiability, big pieces, parabolic measure, caloric measure

Nyström Kaj, Strömqvist Martin: On the parabolic Lipschitz approximation of parabolic uniform rectifiable sets. Rev. Mat. Iberoamericana 33 (2017), 1397-1422. doi: 10.4171/RMI/976