L P Improving Bounds for Averages along Curves
نویسنده
چکیده
We establish local (L, L) mapping properties for averages on curves. The exponents are sharp except for endpoints.
منابع مشابه
m at h . C A ] 7 S ep 2 00 1 L p IMPROVING BOUNDS FOR AVERAGES ALONG CURVES
We establish local (L, L) mapping properties for averages on curves. The exponents are sharp except for endpoints.
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We establish local (L, L) mapping properties for averages on curves. The exponents are sharp except for endpoints.
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In the combinatorial method proving of Lp-improving estimates for averages along curves pioneered by Christ [8], it is desirable to estimate the average modulus (with respect to some uniform measure on a set) of a polynomial-like function from below using only the value of the function or its derivatives at some prescribed point. In this paper, it is shown that there is always a relatively larg...
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