Maximal subspace averages
نویسندگان
چکیده
We consider maximal operators associated to singular averages along finite subsets Σ of the Grassmannian Gr(d,n) d-dimensional subspaces Rn. The well studied d=1 case corresponds directional function with respect arbitrary Gr(1,n)=Sn−1. provide a systematic study all cases 1≤d1. this context, best possible L2(Rn)-bound combinations dimension codimension. Our estimates rely Fourier analytic almost orthogonality principles, combined polynomial partitioning, but use spatial analysis based calculation intersections plates
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2022
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2022.108749