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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| Format: | Article |
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Hindawi Limited
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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doaj-580dae8efaaa450682e3ff7bd25e188d2021-05-10T00:26:37ZengHindawi LimitedAbstract and Applied Analysis1687-04092021-01-01202110.1155/2021/6688250Equivalent Characterization on Besov SpaceCong He0Jingchun Chen1Department of Mathematical SciencesDepartment of Mathematics and StatisticsIn 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Cong He Jingchun Chen |
| spellingShingle |
Cong He Jingchun Chen Equivalent Characterization on Besov Space Abstract and Applied Analysis |
| author_facet |
Cong He Jingchun Chen |
| author_sort |
Cong He |
| title |
Equivalent Characterization on Besov Space |
| title_short |
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_sort |
equivalent characterization on besov space |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1687-0409 |
| publishDate |
2021-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2021/6688250 |
| work_keys_str_mv |
AT conghe equivalentcharacterizationonbesovspace AT jingchunchen equivalentcharacterizationonbesovspace |
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