HANKEL OPERATORS ON HARDY SPACES AND SCHATTEN CLASSES
Citation:
Zhang Genkai.HANKEL OPERATORS ON HARDY SPACES AND SCHATTEN CLASSES[J].Chinese Annals of Mathematics B,1991,12(3):282~294
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Authors:
Zhang Genkai;
Abstract:
For a holomorphic function $f$ on the unit ball $B^{N}$ of $C^{N}$, it is proved that the reduced Hankel operator $R_{f}$ on Hardy space $H^{2}(B^{N})$ is of Schatten class $\[{S_p}\]$for $\[p \ge 1\]$ if and only if $f$ is in a corresponding Sobolev space.