$L^p-L^q$ boundedness of Bergman-type operators over the Siegel upper half-space

Congwen Liu; Jiajia Si; Pengyan Hu

arxiv: 1711.00301 · v1 · pith:E7DZOI4Znew · submitted 2017-11-01 · 🧮 math.CV · math.FA

L^p-L^q boundedness of Bergman-type operators over the Siegel upper half-space

Congwen Liu , Jiajia Si , Pengyan Hu This is my paper

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keywords bergman-typeboundednesshalf-spaceoperatorssiegelupperamercharacterize

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We characterize the $L^p-L^q$ boundedness of Bergman-type operators over the Siegel upper half-space. This extends a recent result of Cheng et. al. (Trans. Amer. Math. Soc. 369:8643--8662, 2017) to higher dimensions.

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L^p-L^q boundedness of Bergman-type operators over the Siegel upper half-space

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