Equivalent Characterization on Besov Space
In this paper, we give an equivalent characterization of the Besov space. This reveals the equivalent relation between the mixed derivative norm and single-variable norm. Fourier multiplier, real interpolation, and Littlewood-Paley decomposition are applied.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2021/6688250 |
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| _version_ | 1832552500580843520 |
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| author | Cong He Jingchun Chen |
| author_facet | Cong He Jingchun Chen |
| author_sort | Cong He |
| collection | DOAJ |
| description | In this paper, we give an equivalent characterization of the Besov space. This reveals the equivalent relation between the mixed derivative norm and single-variable norm. Fourier multiplier, real interpolation, and Littlewood-Paley decomposition are applied. |
| format | Article |
| id | doaj-art-580dae8efaaa450682e3ff7bd25e188d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-580dae8efaaa450682e3ff7bd25e188d2025-02-03T05:58:31ZengWileyAbstract and Applied Analysis1085-33751687-04092021-01-01202110.1155/2021/66882506688250Equivalent Characterization on Besov SpaceCong He0Jingchun Chen1Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, WI 53201, USADepartment of Mathematics and Statistics, The University of Toledo, Toledo, OH 43606, USAIn this paper, we give an equivalent characterization of the Besov space. This reveals the equivalent relation between the mixed derivative norm and single-variable norm. Fourier multiplier, real interpolation, and Littlewood-Paley decomposition are applied.http://dx.doi.org/10.1155/2021/6688250 |
| spellingShingle | Cong He Jingchun Chen Equivalent Characterization on Besov Space Abstract and Applied Analysis |
| title | Equivalent Characterization on Besov Space |
| title_full | Equivalent Characterization on Besov Space |
| title_fullStr | Equivalent Characterization on Besov Space |
| title_full_unstemmed | Equivalent Characterization on Besov Space |
| title_short | Equivalent Characterization on Besov Space |
| title_sort | equivalent characterization on besov space |
| url | http://dx.doi.org/10.1155/2021/6688250 |
| work_keys_str_mv | AT conghe equivalentcharacterizationonbesovspace AT jingchunchen equivalentcharacterizationonbesovspace |