Abstract
Let 0<p≤1. The authors give out the boundedness of δ-order Bouchner-Riesz means B δR (f) on the Triebel-Lizorkin spaces\(\dot F_p^{\alpha ,q} \) for\(\delta > J - \tfrac{{n + 1}}{2} - \min \{ \alpha ,0\} \), where J=n/min{p,q}. The above results cann't be improved, if α≥0 and p≤q.
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Supported by National Science Foundation of China.
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Shanzhen, L., Dachun, Y. The boundedness of Bochner-Riesz means B δR (f) on the spaces\(\dot F_p^{\alpha ,q} \) . Approx. Theory & its Appl. 8, 28–39 (1992). https://doi.org/10.1007/BF02907590
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DOI: https://doi.org/10.1007/BF02907590