4 problems

Let $E\subset[1,2]$ have Minkowski dimension $\dim_{\mathrm{M}}E=\beta$ and quasi-Assouad dimension $\dim_{\mathrm{qA}}E=\gamma$. Let $\mathcal{T}_E$ denote the set of exponent pai…

Let $\Gamma$ be an $h$-set, let ${\mathbb{B}}^{\bm{\sigma}}_{p,q}(\Gamma)$ be the corresponding Besov trace space, and consider the embedding … Assume $1\le r\le p<\infty$,…

Let $0<p<1$, $0<p<q<\infty$, let $\bm{h}=(h_j)$ and $\bm{\sigma}=(\sigma_j)$ be the sequences occurring in the trace-space equivalence, and let $v_p$ be given by $1/v_p=1/p-1/q$. T…

Let $k$ be a positive integer and $1\leq j\leq k+1$. For an irrational number $\zeta$ in the Cantor middle-third set, let $\lambda_{k,j}(\zeta)$ denote the $j$-th approximation con…