Abstract

In this paper, we characterize holomorphic functions f f such that the Hankel operators H f ¯ {H_{\bar f}} are in the Schatten classes on bounded strongly pseudoconvex domains. It is proved that for p > 2 n , H f ¯ p > 2n,\;{H_{\bar f}} is in the Schatten class S p {S_p} if and only if f f is in the Besov space B p {B_p} ; for p ⩽ 2 n , H f ¯ p \leqslant 2n,\;{H_{\bar f}} is in the Schatten class S p {S_p} if and only if f = constant f = {\text {constant}} .

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.