2 problems

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Rubio de Francia's vector-valued interval multiplier conjecture
Rubio de Francia's conjecture. The inequality above should hold for every compact connected abelian group $G$ and all $1<p,q<\infty$ .
Conjectureopenharmonic-analysis multiplier-theory vector-valued-inequalitiesarXiv posted 2 days ago
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Vector-valued Hopf–Dunford–Schwartz conjecture for $l^q$ -valued functions
Let $(T_t)_{tgeqslant0}$ be a strongly continuous semi-group satisfying the contraction property, and let $1<q<+infty$ . For a sequence-valued function $f$ , write $\overline{M_T}f$ …
Conjectureopenharmonic-analysis semigroups vector-valued-inequalitiesarXiv posted 2 days ago

Rubio de Francia's vector-valued interval multiplier conjecture