Abstract
In this paper K-closedness is proved in the case of the couple of real Hardy spaces (Hr(Rn),Hp(Rn)) in the corresponding couple of Lebesgue spaces for n−1n<r<p≤∞. This means roughly that any measurable decomposition of an analytic function gives rise to an “analytic” decomposition with summands of roughly the same size. The proof uses Bourgain's method, the atomic decomposition for Hardy spaces and the subharmonic property of the gradient of a system of conjugate harmonic 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.
