Abstract
In this article we give a wavelet area integral characterization for weighted Hardy spaces Hp(?), 0 < p < 8, with ? I A8. Our wavelet characterization establishes the identification between Hp(?) and T2p (?), the weighted discrete tent space, for 0 < p < 8 and ? I A8. This allows us to use all the results of tent spaces for weighted Hardy spaces. In particular, we obtain the isomorphism between Hp(?) and the dual space of Hp'(?), where 1< p < 8 and 1/p + 1/p' = 1, and the wavelet and the Carleson measure characterizations of BMO?. Moreover, we obtain interpolation between A8-weighted Hardy spaces Hp1(?) and Hp2(?), 1 = p1 < p2 < 8.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
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.