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arXiv:1710.07668 [math.CA]AbstractReferencesReviewsResources

Endpoint $L^p \to L^q$ bounds for integration along certain polynomial curves

Betsy Stovall

Published 2017-10-20Version 1

We establish strong-type endpoint $L^p(\mathbb R^d) \to L^q(\mathbb R^d)$ bounds for the operator given by convolution with affine arclength measure on polynomial curves for $d \geq 4$. The bounds established depend only on the dimension $d$ and the degree of the polynomial.

Comments: This is a preprint version of a published article. The final version is in J. Funct. Anal. 259 (2010), no. 12, 3205-3229
Journal: J. Funct. Anal. 259 (2010), no. 12, 3205-3229
Categories: math.CA
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