The k-plane transform is bounded from Sobolev, Besov, and Triebel-Lizorkin spaces on R^d to corresponding spaces on the affine Grassmannian, with explicit stability estimates for compactly supported functions.
160 of Encyclopedia of Mathematics and its Applica- tions, Cambridge University Press, New York, 2015
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.FA 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Mapping estimates for the $k$-plane transform in Sobolev, Besov, and Triebel--Lizorkin Spaces
The k-plane transform is bounded from Sobolev, Besov, and Triebel-Lizorkin spaces on R^d to corresponding spaces on the affine Grassmannian, with explicit stability estimates for compactly supported functions.