3 problems

Let $F_s$ be the function … with $s\in(1/2,1]$, and let $D_{F_s}^{(p)}$ denote its multifractal $p$-spectrum. A fractional derivation of order $1$ is understood as an operator that…

Wavelet completeness conjecture. Characterize the locally compact groups $G$ satisfying

Christ's conjecture. The class of operators that are $p$-weakly localized relative to the continuous Haar wavelet frame and the weight $p(a,b)=b^{1/2-\delta}$ coincides with the cl…