The Equivalent Descriptions of Qₖ(p, q) Spaces in the Unit Ball of ℂⁿ
Abstract
Functions in the space Qk(p, q) have attracted substantial interest, mainly because of the subtle roles played by the weight function K, and the parameters p and q. In the present work, on the unit ball of ℂⁿ we provide six different norm expressions for Qk(p, q) and show that these norms are pairwise equivalent under suitable hypotheses on the data.
Fields of Study & Subjects
Advanced Banach Space Theory
Approximation Theory and Sequence Spaces
Analytic and geometric function theory
Publication details
- Journal / source
- The Saudi Journal of Applied Sciences and Technology
- Publisher
- Jazan University
- Volume
- 3
- Issue
- 1
- Publication date
- 1 May 2026