Restricted Radon Transforms and Unions of Hyperplanes
Rev. Mat. Iberoamericana, Tome 22 (2006) no. 2, p. 977-992 / Harvested from Project Euclid
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We study $L^p (\mathbb{R}^n)\rightarrow L^{\alpha ,\infty}_{d\mu (\sigma)}(L^{\infty}_{dt})$ estimates for the Radon transform in certain cases where the dimension of the measure $\mu$ on $\Sigma^{(n-1)}$ is less than $n-1$.
Publié le : 2006-12-14
Classification:  Radon transform,  Hausdorff dimension,  Besicovitch set,  28A75 
@article{1169480038,
     author = {Oberlin
,  
Daniel M.},
     title = {Restricted Radon Transforms and Unions of Hyperplanes},
     journal = {Rev. Mat. Iberoamericana},
     volume = {22},
     number = {2},
     year = {2006},
     pages = { 977-992},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1169480038}
}

Oberlin
,  
Daniel M. Restricted Radon Transforms and Unions of Hyperplanes. Rev. Mat. Iberoamericana, Tome 22 (2006) no. 2, pp.  977-992. http://gdmltest.u-ga.fr/item/1169480038/