Variation bounds for spherical averages
Authors:
- David BeltranDBDavid Beltran
- Richard OberlinRORichard Oberlin
- Luz RoncalLRLuz Roncal
- Andreas SeegerASAndreas Seeger
- Betsy StovallBSBetsy Stovall
Preprint
Abstract
We consider $r$-variation operators for the family of spherical means, with special emphasis on $L^p\to L^q$ estimates.