Tent Carleson measures and superposition operators on Hardy type tent spaces

2024/06/27 by Chen, Jiale
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2406.18866

Abstract

In this paper, we completely characterize the positive Borel measures μ on the unit ball \mathbbB_n of ℂⁿ such that the Carleson embedding from holomorphic Hardy type tent spaces HT^p_q,α into the tent spaces T^t_s(μ) is bounded for all 0-n-1. As an application, we determine the indices 0-n-1 such that the inclusion HT^p_q,α\subsetHT^t_s,β holds, which allows us to completely characterize the nonlinear superposition operators between Hardy type tent spaces.

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• The Q_p Carleson Measure Problem
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