Hardy's Inequalities for Hermite and Laguerre Expansions |
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| Authors: | Kanjin Yuichi |
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| Affiliation: | Department of Mathematics, College of Liberal Arts, Kanazawa University Kanazawa 920-11, Japan |
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| Abstract: | The well-known inequality of Hardy for Fourier coefficientsof functions  in the real Hardy space is  . We shall establish analogues of this inequality for the Hermite function expansionsand also for the Laguerre function expansions. 1991 MathematicsSubject Classification 42C10, 33C45. |
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