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Maximal function in Beurling–Orlicz and central Morrey–Orlicz spaces

Volume 138 / 2015

Lech Maligranda, Katsuo Matsuoka Colloquium Mathematicum 138 (2015), 165-181 MSC: Primary 46E30; Secondary 46B35. DOI: 10.4064/cm138-2-2

Abstract

We define Beurling–Orlicz spaces, weak Beurling–Orlicz spaces, Herz–Orlicz spaces, weak Herz–Orlicz spaces, central Morrey–Orlicz spaces and weak central Morrey–Orlicz spaces. Moreover, the strong-type and weak-type estimates of the Hardy–Littlewood maximal function on these spaces are investigated.

Authors

  • Lech MaligrandaDepartment of Engineering Sciences
    and Mathematics
    Luleå University of Technology
    SE-971 87 Luleå, Sweden
    e-mail
  • Katsuo MatsuokaCollege of Economics
    Nihon University
    1-3-2 Misaki-cho, Chiyoda-ku
    Tokyo 101-8360, Japan
    e-mail

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