Geometric Characterizations of the Differential Shift Plus Alexander Integral Operator

Geometric Characterizations of the Differential Shift Plus Alexander Integral Operator

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In this effort, we deal with a new integral operator in the open unit disk.This operator is formulated by the complex Alexander operator bar drain board and its derivative.Furthermore, we introduce a new subspace of the Hardy space containing the normalized analytic functions.

We shall prove that the new integral operator is closed in the subspace of normalized functions.Geometric characterizations are established in the sequel based merlin wizard costume on the maximality of Jack Lemma.