Optimal domains for Volterra operators Tg: Hp to Hq on the unit ball strictly contain Hp, with their intersection equaling Hp if p greater than or equal to q and a larger tent space if p less than q.
Hu, Ces´ aro operators on mixed norm spaces,Proc
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Recovering Hardy spaces from optimal domains of integration operators
Optimal domains for Volterra operators Tg: Hp to Hq on the unit ball strictly contain Hp, with their intersection equaling Hp if p greater than or equal to q and a larger tent space if p less than q.