$L^p$ improving bounds for averages along curves

Details $L^p$ improving bounds for averages along curves $L^p$ improving bounds for averages along curves

2001-08-21

arxiv.org/abs/math/0108137v3

Mathematics

Classical Analysis and ODEs

37 pages, simplified argument (no further need for algebraic complexity theory!), to appear, JAMS

Scientific paper

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

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