Besov-Schatten Spaces
We introduce the Besov-Schatten spaces 𝐵𝑝(ℓ2), a matrix version af analytic Besov space, and we compute the dual of this space showing that it coincides with the matricial Bloch space introduced previously in Popa (2007). Finally we compute the space of all Schur multipliers on 𝐵1(ℓ2).
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2012-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/693251 |
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doaj-ca8cf91478814195a6d3ee14601e388e2020-11-24T23:46:14ZengHindawi LimitedJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/693251693251Besov-Schatten SpacesA. N. Marcoci0L. G. Marcoci1L. E. Persson2Department of Mathematics and Computer Science, Technical University of Civil Engineering Bucharest, 020396 Bucharest, RomaniaDepartment of Mathematics and Computer Science, Technical University of Civil Engineering Bucharest, 020396 Bucharest, RomaniaDepartment of Mathematics, Luleå University of Technology, 97 187 Luleå, SwedenWe introduce the Besov-Schatten spaces 𝐵𝑝(ℓ2), a matrix version af analytic Besov space, and we compute the dual of this space showing that it coincides with the matricial Bloch space introduced previously in Popa (2007). Finally we compute the space of all Schur multipliers on 𝐵1(ℓ2).http://dx.doi.org/10.1155/2012/693251 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
A. N. Marcoci L. G. Marcoci L. E. Persson |
| spellingShingle |
A. N. Marcoci L. G. Marcoci L. E. Persson Besov-Schatten Spaces Journal of Function Spaces and Applications |
| author_facet |
A. N. Marcoci L. G. Marcoci L. E. Persson |
| author_sort |
A. N. Marcoci |
| title |
Besov-Schatten Spaces |
| title_short |
Besov-Schatten Spaces |
| title_full |
Besov-Schatten Spaces |
| title_fullStr |
Besov-Schatten Spaces |
| title_full_unstemmed |
Besov-Schatten Spaces |
| title_sort |
besov-schatten spaces |
| publisher |
Hindawi Limited |
| series |
Journal of Function Spaces and Applications |
| issn |
0972-6802 1758-4965 |
| publishDate |
2012-01-01 |
| description |
We introduce the Besov-Schatten spaces 𝐵𝑝(ℓ2), a matrix version af analytic Besov space, and we compute
the dual of this space showing that it coincides with the matricial
Bloch space introduced previously in Popa (2007). Finally we compute the
space of all Schur multipliers on 𝐵1(ℓ2). |
| url |
http://dx.doi.org/10.1155/2012/693251 |
| work_keys_str_mv |
AT anmarcoci besovschattenspaces AT lgmarcoci besovschattenspaces AT lepersson besovschattenspaces |
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1725494109816225792 |