Singular maximal functions and Radon transforms near L^1

Andreas Seeger; Terence Tao; James Wright

Singular maximal functions and Radon transforms near L^1

经典分析与常微分方程 2007-05-23 v1

作者: Andreas Seeger , Terence Tao , James Wright

摘要

We show that some singular maximal functions and singular Radon transforms satisfy a weak type $L\log\log L$ inequality. Examples include the maximal function and Hilbert transform associated to averages along a parabola. The weak type inequality yields pointwise convergence results for functions which are locally in $L\log\log L$ .

关键词

function spaces and inequalities radon transform maximal operators

引用

@article{arxiv.math/0205156,
  title  = {Singular maximal functions and Radon transforms near L^1},
  author = {Andreas Seeger and Terence Tao and James Wright},
  journal= {arXiv preprint arXiv:math/0205156},
  year   = {2007}
}

备注

32 pages

相关论文

查看更多相关论文 →