Geodesic
The boundedness of two classes of integral operators
Czechoslovak Mathematical Journal, Tome 71 (2021) no. 2, pp. 475-490 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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The aim of this paper is to characterize the $L^p-L^q$ boundedness of two classes of integral operators from $L^p (\mathcal {U}, {\rm d} V_\alpha )$ to $L^q(\mathcal {U}, {\rm d} V_\beta )$ 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. Liu, Y. Liu, P. Hu, L. Zhou (2019).
The aim of this paper is to characterize the $L^p-L^q$ boundedness of two classes of integral operators from $L^p (\mathcal {U}, {\rm d} V_\alpha )$ to $L^q(\mathcal {U}, {\rm d} V_\beta )$ 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. Liu, Y. Liu, P. Hu, L. Zhou (2019).
DOI : 10.21136/CMJ.2020.0436-19
Classification : 47B38, 47G10
Keywords: integral operator; Siegel upper half-space; weighted $L^p$ space; boundedness 
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Wang, Xin; Liu, Ming-Sheng. The boundedness of two classes  of integral operators. Czechoslovak Mathematical Journal, Tome 71 (2021) no. 2, pp. 475-490. doi: 10.21136/CMJ.2020.0436-19

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