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BIG HANKEL OPERATORS ON HARDY SPACES OF STRONGLY PSEUDOCONVEX DOMAINS

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摘要 In this article,we investigate the(big) Hankel operator H_(f) on the Hardy spaces of bounded strongly pseudoconvex domains Ω in C^(n).We observe that H_(f ) is bounded on H~p(Ω)(1 <p <∞) if f belongs to BMO and we obtain some characterizations for Hf on H^(2)(Ω) of other pseudoconvex domains.In these arguments,Amar's L^(p)-estimations and Berndtsson's L^(2)-estimations for solutions of the ■_(b)-equation play a crucial role.In addition,we solve Gleason's problem for Hardy spaces H^(p)(Ω)(1 ≤p≤∞) of bounded strongly pseudoconvex domains.
作者 陈伯勇 江良英 Boyong CHEN;Liangying JIANG(School of Mathematical Sciences,Fudan University,Shanghai,200433,China;Department of Statistics and Mathematics,Shanghai Lixin University of Accounting and Finance,Shanghai,201209,China)
出处 《Acta Mathematica Scientia》 SCIE CSCD 2024年第3期789-809,共21页 数学物理学报(B辑英文版)
基金 supported by the National Natural Science Foundation of China(12271101)。
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