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- W2949062589 abstract "In this paper it is shown that an Ahlfors-David $n$-dimensional measure $mu$ on $mathbb{R}^d$ is uniformly $n$-rectifiable if and only if for any ball $B(x_0,R)$ centered at $operatorname{supp}(mu)$, $$ int_0^R int_{xin B(x_0,R)} left|frac{mu(B(x,r))}{r^n} - frac{mu(B(x,2r))}{(2r)^n} right|^2,dmu(x),frac{dr}r leq c, R^n.$$ Other characterizations of uniform $n$-rectifiability in terms of smoother square functions are also obtained." @default.
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- W2949062589 date "2014-01-14" @default.
- W2949062589 modified "2023-10-12" @default.
- W2949062589 title "Square functions and uniform rectifiability" @default.
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