Rank and regularity for averages over submanifolds

Details Rank and regularity for averages over submanifolds Rank and regularity for averages over submanifolds

2008-02-04

arxiv.org/abs/0802.0428v1

Mathematics

Classical Analysis and ODEs

32 pages, 2 figures

Scientific paper

This paper establishes endpoint $L^p-L^q$ 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 concerning oscillatory integral operators.

Affiliated with

Also associated with

No associations

Rating

Rank and regularity for averages over submanifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Rank and regularity for averages over submanifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rank and regularity for averages over submanifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-237519