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On F alconer's distance set problem in the plane

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math.CA 1

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2025 1

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CONDITIONAL 1

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Weighted $L^2$ estimates with applications to $L^p$ problems

math.CA · 2025-06-03 · conditional · novelty 8.0

New weighted L2 estimates with exponent 2/9 for broad Fourier extension operators on 1D fractals yield improvements to maximal Schrodinger, maximal extension, circular Lp decay, and an Lp Mizohata-Takeuchi inequality.

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  • Weighted $L^2$ estimates with applications to $L^p$ problems math.CA · 2025-06-03 · conditional · none · ref 6

    New weighted L2 estimates with exponent 2/9 for broad Fourier extension operators on 1D fractals yield improvements to maximal Schrodinger, maximal extension, circular Lp decay, and an Lp Mizohata-Takeuchi inequality.