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Tent Carleson measures for Hardy spaces. (English) Zbl 07845275

Summary: We completely characterize those positive Borel measures \(\mu\) on the unit ball \(\mathbb{B}_n\) such that the Carleson embedding from Hardy spaces \(H^p\) into the tent-type spaces \(T_s^q (\mu)\) is bounded, for all possible values of \(0 < p, q, s < \infty\).

MSC:

32A35 \(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables
32A36 Bergman spaces of functions in several complex variables
47B38 Linear operators on function spaces (general)

References:

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