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- W1515094002 abstract "Let $D_n={(z_1,dots, z_n)in {bf C}^n:, |z_j|lt 1,,j=1,dots,n}$ be the unit polydisk in ${bf C}^n$. The aim of this paper is to prove the boundedness of the generalized Ces` aro operators ${cal C}^{vecgamma}$ on $H^p(D_n)$ (Hardy) and ${cal A}^{p,q}_{vec mu}(D_n)$ (the generalized Bergman) spaces, for $01$, $j=1,dots,n$. Here $vec mu=(mu_1,dots,mu_n)$ and each $mu_j$ is a positive Borel measure on the interval $[0,1)$. Also we present a class of invariant spaces under the action of this operator." @default.
- W1515094002 created "2016-06-24" @default.
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- W1515094002 date "2003-06-01" @default.
- W1515094002 modified "2023-10-17" @default.
- W1515094002 title "THE GENERALIZED CES`ARO OPERATOR ON THE UNIT POLYDISK" @default.
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- W1515094002 doi "https://doi.org/10.11650/twjm/1500575066" @default.
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