Strong mean approximation on HP(Tn) for the Riesz means at the critical index |
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Authors: | Liu Heping Liu Zhixin Lu Shanzhen |
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Institution: | (1) Beijing Normal University, China |
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Abstract: | In this note we extend the results in 1] to high dimensions. Let f∈Hp (Tn), 0<p<1, n≥1 andσ
δ
, f denote the Riesz means of f at the critical index δ=n/p−(n+1)/2. We have the following estimate:
were 0<s≤2 and
, is the K-functional in Hp(Tn).
Supported by NSFC |
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Keywords: | |
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