Geodesic
An Endpoint Estimate for Certain k-Plane Transforms
Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 96-101

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DOI

In this paper we extend a result of Oberlin and Stein onRadon Transforms to /c-plane transforms for Specifically let where the supremum is taken over all affine k-planes ∏ parallel to the vector k-plane π. We show that F is in Ln of the Grassmann manifold Gn,k whenever f is in the Lorentz space L(n/k, 1) of Rn . The proof relies very heavily on the ideas of M. Christ.
DOI : 10.4153/CMB-1986-018-3
Mots-clés : 44A15 
Drury, S. W. An Endpoint Estimate for Certain k-Plane Transforms. Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 96-101. doi: 10.4153/CMB-1986-018-3
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     title = {An {Endpoint} {Estimate} for {Certain} {k-Plane} {Transforms}},
     journal = {Canadian mathematical bulletin},
     pages = {96--101},
     year = {1986},
     volume = {29},
     number = {1},
     doi = {10.4153/CMB-1986-018-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-018-3/}
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