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Carleson measures and the range of a Cesàro-like operator acting on \(H^\infty\). (English) Zbl 07610418

Summary: In this paper, we determine the range of a Cesàro-like operator acting on \(H^\infty\) by describing characterizations of Carleson type measures on \([0, 1)\). A special case of our result gives an answer to a question posed by P. Galanopoulos, D. Girela and N. Merchán recently.

MSC:

47B38 Linear operators on function spaces (general)
30H05 Spaces of bounded analytic functions of one complex variable
30H25 Besov spaces and \(Q_p\)-spaces
30H35 BMO-spaces

References:

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