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math.CA2023
Carleson's conjecture in higher dimensions
Ian Fleschler, Xavier Tolsa, Michele Villa
In this paper we prove a higher dimensional analogue of Carleson's conjecture. Given two arbitrary disjoint open sets , and $x\in\m…
math.CA2023
An elementary rectifiability lemma and some applications
Camillo De Lellis, Ian Fleschler
We generalize a classical theorem of Besicovitch, showing that, for any positive integers , if is a Souslin set which is not --finite,…