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Variational estimates for the bilinear iterated Fourier integral | | Yen Do
; Camil Muscalu
; Christoph Thiele
; | | Date: |
2 May 2016 | | Abstract: | We prove pointwise variational Lp bounds for a bilinear Fourier integral
operator in a large but not necessarily sharp range of exponents. This result
is a joint strengthening of the corresponding bounds for the classical Carleson
operator, the bilinear Hilbert transform, the variation norm Carleson operator,
and the bi-Carleson operator. Terry Lyon’s rough path theory allows for
extension of our result to multilinear estimates. We consider our result a
proof of concept for a wider array of similar estimates with possible
applications to ordinary differential equations. | | Source: | arXiv, 1605.0574 | | Services: | Forum | Review | PDF | Favorites | |
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