Fourier restriction implies maximal and variational Fourier restriction

Vjekoslav Kova\v{c}

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Fourier restriction implies maximal and variational Fourier restriction

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arxiv 1811.05462 v3 pith:ZASPQPDZ submitted 2018-11-13 math.CA math.FA

Fourier restriction implies maximal and variational Fourier restriction

Vjekoslav Kova\v{c} This is my paper

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We give an abstract argument that an a priori Fourier restriction estimate for a certain choice of exponents automatically implies maximal and variational Fourier restriction estimates. These, in turn, provide pointwise and quantitative interpretations of restriction of the Fourier transform to the hypersurface in question.

Fourier restriction implies maximal and variational Fourier restriction

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