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Mean Oscillation and Hankel Opera tors on Fock-type Spaces 被引量:1

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摘要 For 1≤p<∞we introduce a notion of"p-mean oscillation"on C^(n)in terms of the q metric induced by reproducing kernel of F_(ψ)^(2).It is shown that the densely-defined Hankel operators Hf,Hf:F_(ψ)^(p)→F_(ψ)^(p),are simultaneously bounded if and only if f is of bounded“p-mean oscillation”.Furthermore,it is also shown that the densely-defined Hankel operators Hf、Hf:F_(ψ)^(p)→F_(ψ)^(p),are simultaneously compact if and only if f is of vanishing“p-mean oscillation”.Here the weightψis a positive function of logarithmic grow th sat isfying certain suitable conditions.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2021年第7期1089-1108,共20页 数学学报(英文版)
基金 Supported by NNSF of China(Grant No.11971125)。
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