Remarks on Hardy spaces defined by non-smooth approximate identity |
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Authors: | Qi-Xiang Yang |
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Institution: | School of Mathematics and Statistics, Wuhan University, 430072, PR China |
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Abstract: | We study in this paper some relations between Hardy spaces which are defined by non-smooth approximate identity ?(x), and the end-point Triebel-Lizorkin spaces (1?q?∞). First, we prove that for compact ? which satisfies a slightly weaker condition than Fefferman and Stein's condition. Then we prove that non-trivial Hardy space defined by approximate identity ? must contain Besov space . Thirdly, we construct certain functions and a function such that Daubechies wavelet function but . |
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Keywords: | Atomic space Approximate identity Wavelets End-point Triebel-Lizorkin spaces |
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