Abstract
Let $E$ be a subset in $(n+1)$-dimensional Euclidian space with parabolic homogeneity, codimension $1$, and with an appropriate surface measure $\sigma$ associated to it. We define a parabolic version of Corona decomposition of $E$ and establish two results on sufficient conditions for the existence of parabolic Corona decomposition for $E$. Both results are parabolic versions of well-known results due to G. David and S. Semmes.
Citation
Jorge Rivera-Noriega. "A parabolic version of Corona decompositions." Illinois J. Math. 53 (2) 533 - 559, Summer 2009. https://doi.org/10.1215/ijm/1266934791
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