Abstract
Let f : T→ X satisfy Z T ‖f(x)‖X ` log ‖f(x)‖X 1+δ dx 0. Then we prove that ‚‚‚ X |k|≤n b f(k)e2πikx‚‚‚ X = o ` log logn for ae − x ∈ T. In other words, the ‘little Carleson theorem’ holds for UMD-valued functions.
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 callDisclaimer: 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.
