首页|BIG HANKEL OPERATORS ON HARDY SPACES OF STRONGLY PSEUDOCONVEX DOMAINS
BIG HANKEL OPERATORS ON HARDY SPACES OF STRONGLY PSEUDOCONVEX DOMAINS
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维普
In this article,we investigate the(big)Hankel operator Hf on the Hardy spaces of bounded strongly pseudoconvex domains Ω in Cn.We observe that Hf is bounded on Hp(Q)(1＜p＜∞)if f belongs to BMO and we obtain some characterizations for Hf on H2(Ω)of other pseudoconvex domains.In these arguments,Amar's Lp-estimations and Berndtsson's L2-estimations for solutions of the(∂)b-equation play a crucial role.In addition,we solve Gleason's problem for Hardy spaces Hp(Ω)(1 ≤ p ≤ ∞)of bounded strongly pseudoconvex domains.
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