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We prove an x-ray estimate in general dimension which is a stronger version of Wolff's Kakeya estimate [12]. This generalizes the estimate in [13], which dealt with the n = 3 case.
Laba, Izabella, and Tao, Terence. "An X-ray transform estimate in Rn.." Revista Matemática Iberoamericana 17.2 (2001): 375-407. <http://eudml.org/doc/39681>.
@article{Laba2001, abstract = {We prove an x-ray estimate in general dimension which is a stronger version of Wolff's Kakeya estimate [12]. This generalizes the estimate in [13], which dealt with the n = 3 case.}, author = {Laba, Izabella, Tao, Terence}, journal = {Revista Matemática Iberoamericana}, keywords = {Análisis de Fourier; Operadores maximales; Transformadas integrales; Estimación; X-ray transform; Wolf's Kakeya estimate}, language = {eng}, number = {2}, pages = {375-407}, title = {An X-ray transform estimate in Rn.}, url = {http://eudml.org/doc/39681}, volume = {17}, year = {2001}, }
TY - JOUR AU - Laba, Izabella AU - Tao, Terence TI - An X-ray transform estimate in Rn. JO - Revista Matemática Iberoamericana PY - 2001 VL - 17 IS - 2 SP - 375 EP - 407 AB - We prove an x-ray estimate in general dimension which is a stronger version of Wolff's Kakeya estimate [12]. This generalizes the estimate in [13], which dealt with the n = 3 case. LA - eng KW - Análisis de Fourier; Operadores maximales; Transformadas integrales; Estimación; X-ray transform; Wolf's Kakeya estimate UR - http://eudml.org/doc/39681 ER -