Abstract
In the first part of this paper, we discuss some properties of SΩ(Kn), L ΩP (Kn) and L ΩP (Kn;lq) spaces, give the Plancherel-Polya-Nikol’skij type inequalities and some multiplier theorems. In the second part of this paper, using the results of Part I we prove some preliminary results for the spaces B sp,q (Kn) and F sp,q (Kn).
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Guangcai, Z., Weiyi, S. Elementary aspects ofB sp,q (Kn) andF sp,q (Kn) spaces. Approx. Theory & its Appl. 8, 11–28 (1992). https://doi.org/10.1007/BF02836102
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DOI: https://doi.org/10.1007/BF02836102