On certain trilinear oscillatory integral inequalities
Inequalities are established for certain trilinear scalar-valued functionals. These functionals act on measurable functions of one real variable, are defined by integration over two- or three-dimensional spaces, and are controlled in terms of Lebesgue space norms of the functions, and in terms of ne...
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| Format: | Article |
| Language: | English |
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De Gruyter
2025-05-01
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| Series: | Advanced Nonlinear Studies |
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| Online Access: | https://doi.org/10.1515/ans-2023-0181 |
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| _version_ | 1849316990729060352 |
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| author | Christ Michael |
| author_facet | Christ Michael |
| author_sort | Christ Michael |
| collection | DOAJ |
| description | Inequalities are established for certain trilinear scalar-valued functionals. These functionals act on measurable functions of one real variable, are defined by integration over two- or three-dimensional spaces, and are controlled in terms of Lebesgue space norms of the functions, and in terms of negative powers of large parameters describing a degree of oscillation. Related sublevel set inequalities are a central element of the analysis. |
| format | Article |
| id | doaj-art-68e84c19edfe4ec2a3ac950d84677a3e |
| institution | Kabale University |
| issn | 2169-0375 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advanced Nonlinear Studies |
| spelling | doaj-art-68e84c19edfe4ec2a3ac950d84677a3e2025-08-20T03:51:24ZengDe GruyterAdvanced Nonlinear Studies2169-03752025-05-0125250255310.1515/ans-2023-0181On certain trilinear oscillatory integral inequalitiesChrist Michael0Department of Mathematics, University of California, Berkeley, CA94720-3840, USAInequalities are established for certain trilinear scalar-valued functionals. These functionals act on measurable functions of one real variable, are defined by integration over two- or three-dimensional spaces, and are controlled in terms of Lebesgue space norms of the functions, and in terms of negative powers of large parameters describing a degree of oscillation. Related sublevel set inequalities are a central element of the analysis.https://doi.org/10.1515/ans-2023-0181multilinear functionalsoscillatory integralssublevel sets42b2026d15 |
| spellingShingle | Christ Michael On certain trilinear oscillatory integral inequalities Advanced Nonlinear Studies multilinear functionals oscillatory integrals sublevel sets 42b20 26d15 |
| title | On certain trilinear oscillatory integral inequalities |
| title_full | On certain trilinear oscillatory integral inequalities |
| title_fullStr | On certain trilinear oscillatory integral inequalities |
| title_full_unstemmed | On certain trilinear oscillatory integral inequalities |
| title_short | On certain trilinear oscillatory integral inequalities |
| title_sort | on certain trilinear oscillatory integral inequalities |
| topic | multilinear functionals oscillatory integrals sublevel sets 42b20 26d15 |
| url | https://doi.org/10.1515/ans-2023-0181 |
| work_keys_str_mv | AT christmichael oncertaintrilinearoscillatoryintegralinequalities |