4. Mathematics
  5. Classical Analysis and ODEs

Michael Bateman

Mathematics – Classical Analysis and ODEs

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$L^p$ estimates for the Hilbert transforms along a one-variable vector field

Mathematics – Classical Analysis and ODEs
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An estimate from below for the Buffon needle probability of the four-corner Cantor set

Mathematics – Classical Analysis and ODEs
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Kakeya Sets and Directional Maximal Operators in the Plane

Mathematics – Classical Analysis and ODEs
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Maximal averages along a planar vector field depending on one variable

Mathematics – Classical Analysis and ODEs
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New Bounds on cap sets

Mathematics – Classical Analysis and ODEs
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