4.2 Article

Pseudo-Differential Operators on Zn with Applications to Discrete Fractional Integral Operators

期刊

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
卷 45, 期 4, 页码 1227-1241

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SPRINGER SINGAPORE PTE LTD
DOI: 10.1007/s41980-018-00195-y

关键词

Pseudo-differential operators; Calderon-Vaillancourt theorem; Gohberg lemma; Discrete fractional integral operator; Hypothesis-K-*; Waring's problem

资金

  1. Pontificia Universidad Javeriana, Mathematics Department, Bogota-Colombia

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In this manuscript we provide necessary and sufficient conditions for the weak( 1, p) boundedness, 1 < p < 8, of discrete Fourier multipliers ( Fourier multipliers on Zn). Our main goal was to apply the results obtained to discrete fractional integral operators. Discrete versions of the Calderon- Vaillancourt theorem and the Gohberg lemma also are proved.

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