Uniform estimates for bilinear Hilbert transform and bilinear maximal functions associated to polynomials
classification
🧮 math.CA
keywords
bilinearassociatedestimatesfunctionshilbertmaximaltransformuniform
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We study the bilinear Hilbert transform and bilinear maximal functions associated to polynomial curves and obtain uniform $L^r$ estimates for $r>\frac{d-1}{d}$ and this index is sharp up to the end point.
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