UNCERTAINTY PRINCIPLES AND CALDER ´ON’S FORMULAS FOR THE DEFORMED HANKEL 𝐿^2_𝛼-MULTIPLIER OPERATORS
The main purpose of this paper is to introduce the deformed Hankel 𝐿^2_𝛼-multiplier operators and to give some new results related to these operators as Plancherel’s, Calderon’s reproducing formulas and Heisenberg’s, Donoho-Stark’s uncertainty principles. Next, using the theory of reproducing kernel...
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| Language: | English |
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Petrozavodsk State University
2024-10-01
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| Series: | Проблемы анализа |
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| Online Access: | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=16330&lang=en |
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| author | A. Chana A. Akhlidj |
| author_facet | A. Chana A. Akhlidj |
| author_sort | A. Chana |
| collection | DOAJ |
| description | The main purpose of this paper is to introduce the deformed Hankel 𝐿^2_𝛼-multiplier operators and to give some new results related to these operators as Plancherel’s, Calderon’s reproducing formulas and Heisenberg’s, Donoho-Stark’s uncertainty principles. Next, using the theory of reproducing kernels, we give best estimates and an integral representation of the extremal functions related to these operators on weighted Sobolev spaces. |
| format | Article |
| id | doaj-art-1f8066cfc9cf4f49938fbae3197a2e5f |
| institution | Kabale University |
| issn | 2306-3424 2306-3432 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | Petrozavodsk State University |
| record_format | Article |
| series | Проблемы анализа |
| spelling | doaj-art-1f8066cfc9cf4f49938fbae3197a2e5f2025-01-28T10:43:17ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322024-10-0113 (31)3234210.15393/j3.art.2024.16330UNCERTAINTY PRINCIPLES AND CALDER ´ON’S FORMULAS FOR THE DEFORMED HANKEL 𝐿^2_𝛼-MULTIPLIER OPERATORSA. Chana0A. Akhlidj1Laboratory of Fundamental and Applied Mathematics, Department of Mathematics and Informatics, Faculty of Sciences Ain Chock, University of Hassan IILaboratory of Fundamental and Applied Mathematics, Department of Mathematics and Informatics, Faculty of Sciences Ain Chock, University of Hassan IIThe main purpose of this paper is to introduce the deformed Hankel 𝐿^2_𝛼-multiplier operators and to give some new results related to these operators as Plancherel’s, Calderon’s reproducing formulas and Heisenberg’s, Donoho-Stark’s uncertainty principles. Next, using the theory of reproducing kernels, we give best estimates and an integral representation of the extremal functions related to these operators on weighted Sobolev spaces.https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=16330&lang=endeformed hankel transformcalder´on’s reproducing formulasextremal functionsheisenberg’s uncertainty principledonoho-stark’s uncertainty principle |
| spellingShingle | A. Chana A. Akhlidj UNCERTAINTY PRINCIPLES AND CALDER ´ON’S FORMULAS FOR THE DEFORMED HANKEL 𝐿^2_𝛼-MULTIPLIER OPERATORS Проблемы анализа deformed hankel transform calder´on’s reproducing formulas extremal functions heisenberg’s uncertainty principle donoho-stark’s uncertainty principle |
| title | UNCERTAINTY PRINCIPLES AND CALDER ´ON’S FORMULAS FOR THE DEFORMED HANKEL 𝐿^2_𝛼-MULTIPLIER OPERATORS |
| title_full | UNCERTAINTY PRINCIPLES AND CALDER ´ON’S FORMULAS FOR THE DEFORMED HANKEL 𝐿^2_𝛼-MULTIPLIER OPERATORS |
| title_fullStr | UNCERTAINTY PRINCIPLES AND CALDER ´ON’S FORMULAS FOR THE DEFORMED HANKEL 𝐿^2_𝛼-MULTIPLIER OPERATORS |
| title_full_unstemmed | UNCERTAINTY PRINCIPLES AND CALDER ´ON’S FORMULAS FOR THE DEFORMED HANKEL 𝐿^2_𝛼-MULTIPLIER OPERATORS |
| title_short | UNCERTAINTY PRINCIPLES AND CALDER ´ON’S FORMULAS FOR THE DEFORMED HANKEL 𝐿^2_𝛼-MULTIPLIER OPERATORS |
| title_sort | uncertainty principles and calder ´on s formulas for the deformed hankel 𝐿 2 𝛼 multiplier operators |
| topic | deformed hankel transform calder´on’s reproducing formulas extremal functions heisenberg’s uncertainty principle donoho-stark’s uncertainty principle |
| url | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=16330&lang=en |
| work_keys_str_mv | AT achana uncertaintyprinciplesandcalderonsformulasforthedeformedhankell2αmultiplieroperators AT aakhlidj uncertaintyprinciplesandcalderonsformulasforthedeformedhankell2αmultiplieroperators |