Geodesic
Extended Ces\`aro operators between Hardy and Bergman spaces on the complex ball
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 46, Tome 467 (2018), pp. 67-72

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We characterize those holomorphic symbols $g$ for which the extended Cesàro operator $V_g$ maps the Hardy space $H^p(B)$ into the weighted Bergman space $A^q_\beta(B)$, $0$, $\beta>-1$, on the unit ball $B$ of $\mathbb C^d$. 
@article{ZNSL_2018_467_a6,
     author = {E. S. Dubtsov},
     title = {Extended {Ces\`aro} operators between {Hardy} and {Bergman} spaces on the complex ball},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {67--72},
     publisher = {mathdoc},
     volume = {467},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2018_467_a6/}
}
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E. S. Dubtsov. Extended Ces\`aro operators between Hardy and Bergman spaces on the complex ball. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 46, Tome 467 (2018), pp. 67-72. http://geodesic.mathdoc.fr/item/ZNSL_2018_467_a6/