| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4592509 | Journal of Functional Analysis | 2009 | 33 Pages |
Abstract
This paper establishes endpoint Lp–Lq and Sobolev mapping properties of Radon-like operators which satisfy a homogeneity condition (similar to semiquasihomogeneity) and a condition on the rank of a matrix related to rotational curvature. For highly degenerate operators, the rank condition is generically satisfied for algebraic reasons, similar to an observation of Greenleaf, Pramanik and Tang [A. Greenleaf, M. Pramanik, W. Tang, Oscillatory integral operators with homogeneous polynomial phases in several variables, J. Funct. Anal. 244 (2) (2007) 444–487] concerning oscillatory integral operators.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
