Abstract
Let E be a subset in (n+1)-dimensional Euclidean space with parabolic homogeneity, codimension 1, and with an appropriate surface measure σ associated with it. For certain kinds of parabolic Calderon–Zygmund operators T we prove that the L2(E,dσ)-boundedness of T is equivalent to the parabolic uniform rectifiability of E. This is a parabolic version of a well-known result of G. David and S. Semmes.
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