Carleson embeddings
In this paper we discuss several operator ideal properties for so called Carleson embeddings of tent spaces into specific L q(μ)-spaces, where μ is a Carleson measure on the complex unit disc. Characterizing absolutely q-summing, absolutely continuous and q-integral Carleson embeddings in terms of...
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| Format: | Article |
| Language: | English |
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Wiley
1996-01-01
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| Series: | Abstract and Applied Analysis |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S1085337596000097 |
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| _version_ | 1832567327441289216 |
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| author | Helmut J. Heiming |
| author_facet | Helmut J. Heiming |
| author_sort | Helmut J. Heiming |
| collection | DOAJ |
| description | In this paper we discuss several operator ideal properties for so
called Carleson embeddings of tent spaces into specific L q(μ)-spaces, where μ is a Carleson measure on the complex unit disc. Characterizing absolutely
q-summing, absolutely continuous and
q-integral Carleson embeddings in terms of the underlying measure is our main topic. The presented results extend and integrate results especially known for composition operators on Hardy spaces as well as embedding theorems for function spaces of similar kind. |
| format | Article |
| id | doaj-art-a71867b0038143eba8b3d30071c3d089 |
| institution | Kabale University |
| issn | 1085-3375 |
| language | English |
| publishDate | 1996-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a71867b0038143eba8b3d30071c3d0892025-02-03T01:01:46ZengWileyAbstract and Applied Analysis1085-33751996-01-011219320110.1155/S1085337596000097Carleson embeddingsHelmut J. Heiming0Universität Konstanz, Fakultät für Mathematik und Informatik, Postfach 5560 D200, Konstanz 78 434, GermanyIn this paper we discuss several operator ideal properties for so called Carleson embeddings of tent spaces into specific L q(μ)-spaces, where μ is a Carleson measure on the complex unit disc. Characterizing absolutely q-summing, absolutely continuous and q-integral Carleson embeddings in terms of the underlying measure is our main topic. The presented results extend and integrate results especially known for composition operators on Hardy spaces as well as embedding theorems for function spaces of similar kind.http://dx.doi.org/10.1155/S1085337596000097Carleson measureCarleson embeddingabsolutely summing operatortent spaceHardy spacecomposition operator. |
| spellingShingle | Helmut J. Heiming Carleson embeddings Abstract and Applied Analysis Carleson measure Carleson embedding absolutely summing operator tent space Hardy space composition operator. |
| title | Carleson embeddings |
| title_full | Carleson embeddings |
| title_fullStr | Carleson embeddings |
| title_full_unstemmed | Carleson embeddings |
| title_short | Carleson embeddings |
| title_sort | carleson embeddings |
| topic | Carleson measure Carleson embedding absolutely summing operator tent space Hardy space composition operator. |
| url | http://dx.doi.org/10.1155/S1085337596000097 |
| work_keys_str_mv | AT helmutjheiming carlesonembeddings |