A Transference Result of the Lp-Continuity of the Jacobi Littlewood-Paley g-Function to the Gaussian and Laguerre Littlewood-Paley g-Function
We develop a transference method to obtain the Lp-continuity of the Gaussian-Littlewood-Paley g-function and the Lp-continuity of the Laguerre-Littlewood-Paley g-function from the Lp-continuity of the Jacobi-Littlewood-Paley g-function, in dimension one, using the well-known asymptotic relations bet...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/9304964 |
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| author | Eduard Navas Wilfredo O. Urbina |
| author_facet | Eduard Navas Wilfredo O. Urbina |
| author_sort | Eduard Navas |
| collection | DOAJ |
| description | We develop a transference method to obtain the Lp-continuity of the Gaussian-Littlewood-Paley g-function and the Lp-continuity of the Laguerre-Littlewood-Paley g-function from the Lp-continuity of the Jacobi-Littlewood-Paley g-function, in dimension one, using the well-known asymptotic relations between Jacobi polynomials and Hermite and Laguerre polynomials. |
| format | Article |
| id | doaj-art-312ecd6a380749ebb737eb84d87ffc1c |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-312ecd6a380749ebb737eb84d87ffc1c2025-02-03T01:22:50ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/93049649304964A Transference Result of the Lp-Continuity of the Jacobi Littlewood-Paley g-Function to the Gaussian and Laguerre Littlewood-Paley g-FunctionEduard Navas0Wilfredo O. Urbina1Departamento de Matemáticas, Universidad Nacional Experimental Francisco de Miranda, Punto Fijo, VenezuelaDepartment of Mathematics and Actuarial Sciences, Roosevelt University, Chicago, IL 60605, USAWe develop a transference method to obtain the Lp-continuity of the Gaussian-Littlewood-Paley g-function and the Lp-continuity of the Laguerre-Littlewood-Paley g-function from the Lp-continuity of the Jacobi-Littlewood-Paley g-function, in dimension one, using the well-known asymptotic relations between Jacobi polynomials and Hermite and Laguerre polynomials.http://dx.doi.org/10.1155/2018/9304964 |
| spellingShingle | Eduard Navas Wilfredo O. Urbina A Transference Result of the Lp-Continuity of the Jacobi Littlewood-Paley g-Function to the Gaussian and Laguerre Littlewood-Paley g-Function Journal of Function Spaces |
| title | A Transference Result of the Lp-Continuity of the Jacobi Littlewood-Paley g-Function to the Gaussian and Laguerre Littlewood-Paley g-Function |
| title_full | A Transference Result of the Lp-Continuity of the Jacobi Littlewood-Paley g-Function to the Gaussian and Laguerre Littlewood-Paley g-Function |
| title_fullStr | A Transference Result of the Lp-Continuity of the Jacobi Littlewood-Paley g-Function to the Gaussian and Laguerre Littlewood-Paley g-Function |
| title_full_unstemmed | A Transference Result of the Lp-Continuity of the Jacobi Littlewood-Paley g-Function to the Gaussian and Laguerre Littlewood-Paley g-Function |
| title_short | A Transference Result of the Lp-Continuity of the Jacobi Littlewood-Paley g-Function to the Gaussian and Laguerre Littlewood-Paley g-Function |
| title_sort | transference result of the lp continuity of the jacobi littlewood paley g function to the gaussian and laguerre littlewood paley g function |
| url | http://dx.doi.org/10.1155/2018/9304964 |
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