arXiv Analytics

Sign in

arXiv:math/0108137 [math.CA]AbstractReferencesReviewsResources

$L^p$ improving bounds for averages along curves

Terence Tao, Jim Wright

Published 2001-08-21, updated 2002-12-05Version 3

We establish local $(L^p,L^q)$ mapping properties for averages on curves. The exponents are sharp except for endpoints.

Comments: 37 pages, simplified argument (no further need for algebraic complexity theory!), to appear, JAMS
Categories: math.CA
Subjects: 42B15
Related articles: Most relevant | Search more
arXiv:math/0001050 [math.CA] (Published 2000-01-09)
Endpoint multiplier theorems of Marcinkiewicz type
arXiv:2407.01584 [math.CA] (Published 2024-06-18)
The mapping properties of fractional derivatives in weighted fractional Sobolev space
arXiv:2303.02897 [math.CA] (Published 2023-03-06, updated 2023-05-10)
On $L^{p}$-improving bounds for maximal operators associated with curves of finite type in the plane