Abstract
The theory of analytic QK spaces in the unit disk is becoming more complete. In this paper, QK (R n ) spaces of several real variables are investigated. We give a characterization of QK (R n ) spaces in terms of the mean oscillation of functions over cubes. Applying the characterization and the Calderon-Zygmund decomposition, we establish John-Nirenberg type inequality for QK (R n ). We also show that QK (R n ) spaces can be characterized in the sense of the wavelet coefficients.
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.