Shifted Jacobi multiplier sequences and transplantation between sine and cosine series |
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Authors: | K S Kazarian W Trebels |
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Institution: | 1.Depto de Mátematicas, C-XV,Universidad Autónoma de Madrid,Madrid,Spain;2.AG 5, Fachbereich Mathematik,Technische Universit?t Darmstadt,Darmstadt,Germany |
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Abstract: | It is shown that the multiplier norm of a shifted Jacobi multiplier sequence can be estimated by the (same) multiplier norm
of the original sequence uniformly with respect to the shift. Muckenhoupt’s transplantation theorem for Jacobi series is used
essentially, for which also a functional analytic understanding is given in terms of the minimality of the Jacobi system in
weighted L
p
-spaces.
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Keywords: | Jacobi polynomials Minimality Completeness Shifted multiplier sequences Transplantation Non-A p -weights |
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