An integral operator onHp and Hardy’s inequality

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Volterra type integration operators from Bergman spaces to Hardy spaces (2019, background): “Some important papers include the pioneering works of Aleman, Cima and Siskakis [2, 3, 4], where they described the boundedness of the operator J b acting between Hardy spaces or between Bergman spaces in the unit disk.”
Small weighted Bergman spaces (2015, background): “Later, Aleman and Cima [2] proved that Tg : H p → Hp is bounded if and only if g ∈ BMOA.”
ON SOME INTEGRAL OPERATORS ON THE UNIT POLYDISK AND THE UNIT BALL (2007, background): “Some other results on the operator Jg can be found in [2-4, 22, 25, 36, 47] (see, also the related references therein).”
Embedding theorems and integration operators on Bergman spaces with rapidly decreasing weights (2010, background): “The boundedness and compactness of Tg on classical spaces has attracted a lot of attention in recent years (see [2,3] for Hardy spaces, [4,10,25] for weighted Bergman spaces, and [13,14] for Dirichlet-type spaces).”