ENDPOINT MAPPING PROPERTIES OF SPHERICAL MAXIMAL OPERATORS

Type: Article

Publication Date: 2003-01-01

Citations: 36

DOI: https://doi.org/10.1017/s1474748003000057

Abstract

For a function , , let be the mean of over the sphere of radius centred at . Given a set of dilations we prove various endpoint bounds for the maximal operator defined by , under some regularity assumptions on .AMS 2000 Mathematics subject classification: Primary 42B25. Secondary 42B20

Locations

  • Journal of the Institute of Mathematics of Jussieu - View
  • arXiv (Cornell University) - View - PDF
  • arXiv (Cornell University) - View - PDF
  • Journal of the Institute of Mathematics of Jussieu - View
  • arXiv (Cornell University) - View - PDF
  • arXiv (Cornell University) - View - PDF

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