Volterra Type Integration Operators from Weighted Bergman Spaces to Hardy Spaces in the Unit Ball of Cn

Citation:

Lian HU,,Songxiao LI,,Rong YANG.Volterra Type Integration Operators from Weighted Bergman Spaces to Hardy Spaces in the Unit Ball of Cn[J].Chinese Annals of Mathematics B,2026,(4):675~696
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Authors:

Lian HU,; Songxiao LI,;Rong YANG

Foundation:

the National Natural Science Foundation of China (No. 12371131), the STU Scientific Research Initiation (No. NTF23004) and Guangdong Basic and Applied Basic Research Foundation (Nos. 2022A1515010317, 2023A1515010614).
Abstract: The authors provide a complete characterization of the boundedness and compactness of the Volterra type integration operator Tg from weighted Bergman spaces Ap ω, induced by doubling weights ω, to Hardy spaces Hq in the unit ball of Cn, for all 0 < p, q < ∞.

Keywords:

Bergman space  Hardy space  Volterra type integration operator

Classification:

32A36, 47B38
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