$L^p$ improving multilinear Radon-like transforms

Type: Article

Publication Date: 2011-12-06

Citations: 22

DOI: https://doi.org/10.4171/rmi/663

Abstract

e characterize (up to endpoints) the k -tuples (p_1,\ldots,p_k) for which certain k -linear generalized Radon transforms map the product L^{p_1} \times \cdots \times L^{p_k} boundedly into \mathbb{R} . This generalizes a result of Tao and Wright.

Locations

  • Revista Matemática Iberoamericana - View - PDF
  • arXiv (Cornell University) - View - PDF
  • Project Euclid (Cornell University) - View - PDF

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