4 problems

The non-resonant boundedness conjecture. Up to end-points, both operators have the boundedness range

Let $S_p^N$ and $S_q^N$ be Schatten classes of $N\times N$ matrices, and let $d_n$ denote the $n$th Kolmogorov number of the embedding. For $0<p\leq\infty$, $0<q\leq1$, $q\leq p$,…

Let $0<p<1$, let $\mathcal{M}=(M_k)_{k\geq 0}$ be the weight sequence defining the quasi-norm … and let $\widehat{\mathcal{S}}$ be the completion of the subclass $\mathcal{S}$ with…

Let $0<p<1$, let $\mathcal{M}=(M_k)_{k\geq 0}$ be the weight sequence defining the quasi-norm … and let $\widehat{\mathcal{C}}$ be the completion of $C^{\infty}$ with respect to th…