Sobolev‐Jawerth embedding of Triebel‐Lizorkin‐Morrey‐Lorentz spaces and fractional integral operator on Hardy type spaces |
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| Authors: | Kwok‐Pun Ho |
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| Affiliation: | 1. +86 2. 852 3. 29488386+86 4. 29487726;5. Department of Mathematics and Information Technology, The Hong Kong Institute of Education, , Tai Po, Hong Kong, P. R. China |
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| Abstract: | A Sobolev type embedding for Triebel‐Lizorkin‐Morrey‐Lorentz spaces is established in this paper. As an application of this result, the boundedness of the fractional integral operator on some generalizations of Hardy spaces such as Hardy‐Morrey spaces and Hardy‐Lorentz spaces are obtained. |
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| Keywords: | Sobolev embedding fractional integral operator Triebel‐Lizorkin spaces Morrey spaces Lorentz spaces Hardy‐Morrey spaces 42B25 42B35 42B30 46E30 46E35 47B38 |
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