Boundedness of the Segal-Bargmann Transform on Fractional Hermite-Sobolev Spaces
Let s∈R and 2≤p≤∞. We prove that the Segal-Bargmann transform B is a bounded operator from fractional Hermite-Sobolev spaces WHs,pRn to fractional Fock-Sobolev spaces FRs,p.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/9176914 |
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| _version_ | 1832550223958769664 |
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| author | Hong Rae Cho Hyunil Choi Han-Wool Lee |
| author_facet | Hong Rae Cho Hyunil Choi Han-Wool Lee |
| author_sort | Hong Rae Cho |
| collection | DOAJ |
| description | Let s∈R and 2≤p≤∞. We prove that the Segal-Bargmann transform B is a bounded operator from fractional Hermite-Sobolev spaces WHs,pRn to fractional Fock-Sobolev spaces FRs,p. |
| format | Article |
| id | doaj-art-84e1093f4357467c9d73f41081a09f09 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-84e1093f4357467c9d73f41081a09f092025-02-03T06:07:22ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/91769149176914Boundedness of the Segal-Bargmann Transform on Fractional Hermite-Sobolev SpacesHong Rae Cho0Hyunil Choi1Han-Wool Lee2Department of Mathematics, Pusan National University, Busan 609-735, Republic of KoreaDepartment of Mathematics, Pusan National University, Busan 609-735, Republic of KoreaDepartment of Mathematics, Pusan National University, Busan 609-735, Republic of KoreaLet s∈R and 2≤p≤∞. We prove that the Segal-Bargmann transform B is a bounded operator from fractional Hermite-Sobolev spaces WHs,pRn to fractional Fock-Sobolev spaces FRs,p.http://dx.doi.org/10.1155/2017/9176914 |
| spellingShingle | Hong Rae Cho Hyunil Choi Han-Wool Lee Boundedness of the Segal-Bargmann Transform on Fractional Hermite-Sobolev Spaces Journal of Function Spaces |
| title | Boundedness of the Segal-Bargmann Transform on Fractional Hermite-Sobolev Spaces |
| title_full | Boundedness of the Segal-Bargmann Transform on Fractional Hermite-Sobolev Spaces |
| title_fullStr | Boundedness of the Segal-Bargmann Transform on Fractional Hermite-Sobolev Spaces |
| title_full_unstemmed | Boundedness of the Segal-Bargmann Transform on Fractional Hermite-Sobolev Spaces |
| title_short | Boundedness of the Segal-Bargmann Transform on Fractional Hermite-Sobolev Spaces |
| title_sort | boundedness of the segal bargmann transform on fractional hermite sobolev spaces |
| url | http://dx.doi.org/10.1155/2017/9176914 |
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