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The boundedness of two classes of integral operators. (English) Zbl 1513.47090

Summary: The aim of this paper is to characterize the \(L^p-L^q\) boundedness of two classes of integral operators from \(L^p(\mathcal{U},\mathrm{d}V_\alpha)\) to \(L^q(\mathcal{U},\mathrm{d}V_\beta)\) in terms of the parameters \(a\), \(b\), \(c\), \(p\), \(q\) and \(\alpha\), \(\beta\), where \(\mathcal{U}\) is the Siegel upper half-space. The results in the presented paper generalize a corresponding result given in [C.-W. Liu et al., Complex Anal. Oper. Theory 13, No. 3, 685–701 (2019; Zbl 1421.32011)].

MSC:

47G10 Integral operators

Citations:

Zbl 1421.32011
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References:

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