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      Small cap decoupling inequalities: Bilinear methods

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          Abstract

          We obtain sharp small cap decoupling inequalities associated to the moment curve for certain range of exponents p. Our method is based on the bilinearization argument due to Bourgain and Bourgain-Demeter. Our result generalizes theirs to all higher dimensions.

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          Bounds on Oscillatory Integral Operators Based on Multilinear Estimates

          Larry Guth, Jean Bourgain (2011)
          Article 0 comments Cited 53 times – based on 0 reviews     Review now
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            The cubic case of the main conjecture in Vinogradov's mean value theorem

            Trevor Wooley (2016)
            Article 0 comments Cited 12 times – based on 0 reviews     Review now
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              The Generalized Vandermonde Matrix

              Dan Kalman (1984)
              Article 0 comments Cited 8 times – based on 0 reviews     Review now
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                Publication date Created: 20 November 2019
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                ArXiV ID: 1911.08722
                SO-VID: be309096-7912-4af7-adec-801953e732ea
                License:

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Comments 17 pages
                Categories math.CA

                ScienceOpen disciplines: Mathematics
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                ScienceOpen disciplines: Mathematics

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