Lp-bounds for hypersingular integral operators along curves
نویسندگان
چکیده
منابع مشابه
L Improving Bounds for Averages along Curves
Let n ≥ 2, and let M1 and M2 be two smooth n − 1-dimensional manifolds, each containing a preferred origin 0M1 and 0M2 . We shall abuse notation and write 0 for both 0M1 and 0M2 . For the purposes of integration we shall place a smooth Riemannian metric on M1 and M2, although the exact choice of this metric will not be relevant. All our considerations shall be local to the origin 0. We are inte...
متن کاملImproving 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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*Correspondence: [email protected] Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan Abstract In this article, we establish Lp estimates for parametric Marcinkiewicz integral operators with rough kernels. These estimates and extrapolation arguments improve and extend some known results on Marcinkiewicz integrals. MSC: Primary 40B20; secondary 4...
متن کاملL 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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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1996
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1996.175.389