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Bases of Exponentials in the Spaces L p ( − π , π ) L p ( − π , π )
A. M. Sedletskii M. V. Lomonosov Moscow State University
Abstract:
It is proved that systems of exponentials orthogonal to measures of a special kind form bases in L p ( − π , π ) L p ( − π , π ) , 1 < p < ∞ 1 < p < ∞ , for which an analog of the Riesz theorem on the projection from L p L p onto H p H p is valid.
Received: 05.01.2001
Citation:
A. M. Sedletskii, “Bases of Exponentials in the Spaces L p ( − π , π ) L p ( − π , π ) ”, Mat. Zametki , 72 :3 (2002), 418–432 ; Math. Notes , 72 :3 (2002), 383–397
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https://www.mathnet.ru/eng/mzm433 https://doi.org/10.4213/mzm433 https://www.mathnet.ru/eng/mzm/v72/i3/p418
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