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In this note, we study the mapping properties of global pseudo-differentialoperators with symbols in Ruzhansky-Turunen classes on Besov spaces$B^{s}_{\infty,\infty}(G).$ The considered classes satisfy Fefferman typeconditions of limited regularity.

Besov continuity for global operators on compact Lie groups: the critical case $p=q=\infty.$