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The Fefferman-Stein type inequalities for strong and directional maximal operators in the plane

  • Hiroki Saito,
    Academic support center, Kogakuin University, 2665-1, Nakanomachi, Hachioji-shi Tokyo, 192-0015, Japan
  • Hitoshi Tanaka,
    Research and Support Center on Higher Education for the hearing and Visually Impaired, National University Corporation Tsukuba University of Technology, Kasuga 4-12-7, Tsukuba City, Ibaraki, 305-8521 Japan
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Abstract

The Fefferman-Stein type inequalities for strong maximal operator and directional maximal operator are verified with an additional composition of the Hardy-Littlewood maximal operator in the plane.
Keywords: directional maximal operator, Fefferman-Stein type inequality, Hardy-Littlewood maximal operator, strong maximal operator directional maximal operator, Fefferman-Stein type inequality, Hardy-Littlewood maximal operator, strong maximal operator
MSC Classifications: 42B25, 42B35 show english descriptions Maximal functions, Littlewood-Paley theory
Function spaces arising in harmonic analysis
42B25 - Maximal functions, Littlewood-Paley theory
42B35 - Function spaces arising in harmonic analysis
 

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