Albiac Alesanco, Fernando José

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https://academica-e.unavarra.es/handle/2454/48472

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Albiac Alesanco

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Fernando José

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Estadística, Informática y Matemáticas

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InaMat2. Instituto de Investigación en Materiales Avanzados y Matemáticas

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0000-0001-7051-9279

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88452

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504

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Author: Ciaurri, Óscar × Subject: Thresholding greedy algorithm ×

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    PublicationOpen Access
    Unconditional and quasi-greedy bases in L-p with applications to Jacobi polynomials Fourier series
    (European Mathematical Society, 2019) Albiac Alesanco, Fernando José; Ansorena, José L.; Ciaurri, Óscar; Varona, Juan L.; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika
    We show that the decreasing rearrangement of the Fourier series with respect to the Jacobi polynomials for functions in L-p does not converge unless p = 2. As a by-product of our work on quasi-greedy bases in L-p(µ), we show that no normalized unconditional basis in L-p, p not equal 2, can be semi-normalized in L-q for q not equal p, thus extending a classical theorem of Kadets and Pelczynski from 1968.