中文

An example on the maximal function associated to a nondoubling measure

经典分析与常微分方程 2007-05-23 v1

摘要

We show that there is a measure μ\mu, defined on the hyperbolic plane and with polynomial growth, such that the centered maximal operator associated to μ\mu does not satisfy weak type (1,1)(1,1) bounds.

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引用

@article{arxiv.math/0412081,
  title  = {An example on the maximal function associated to a nondoubling measure},
  author = {J. M. Aldaz},
  journal= {arXiv preprint arXiv:math/0412081},
  year   = {2007}
}