Abstract
Let bp and hp(0<p<∞) be the harmonic Bergman space and harmonic Hardy space of harmonic functions on the open unit disk U, respectively. Given 1≤p<∞, denote by ‖⋅‖bp the norm in the space bp and by ‖⋅‖hp the norm in the space hp. In this paper we establish some improvements of the constant ap appearing in the inequality ‖f‖b2p≤ap‖f‖hp, given on Kalaj and Meštrović (2011) [Theorem 1.1], for p=4 and f real harmonic, as ‖f‖b8≤28+352+242(2+2)+44(2+2)648‖f‖h4.
Sign-in/Register to access full text options 
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.
