2 problems

Let $\mu$ be an arbitrary Radon measure in $\mathbb{R}^d$. A measure is $n$-rectifiable when there are Lipschitz maps $f_i:\mathbb{R}^n\to\mathbb{R}^d$, $i=1,2,\ldots$, such that t…

Let $\Gamma$ be a connected metric space, let ${\mathscr{G}}$ be a multiresolution family of balls in $\Gamma$ with inflation factor $A>1$, and let $\beta_\infty^\Gamma(B)$ denote…