Strongly singular integrals along curves

Norberto Laghi; Neil lyall

Strongly singular integrals along curves

经典分析与常微分方程 2007-05-23 v1

作者: Norberto Laghi , Neil lyall

摘要

In this article we obtain $L^2$ bounds for strongly singular integrals along curves in $\R^d;$ our results both generalise and extend to higher dimensions those obtained by Chandarana in the plane. Moreover, we show that the operators in question are bounded from $L\log L$ to weak $L^1$ at the critical exponent $\alpha=0.$

引用

@article{arxiv.math/0612588,
  title  = {Strongly singular integrals along curves},
  author = {Norberto Laghi and Neil lyall},
  journal= {arXiv preprint arXiv:math/0612588},
  year   = {2007}
}

备注

10 pages

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