The Bourbaki integral as maximal integral
Frank Terpe (1971)
Colloquium Mathematicae
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Frank Terpe (1971)
Colloquium Mathematicae
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M. A. Selby (1974)
Colloquium Mathematicae
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Doroslovački, Rade, Pantović, Jovanka, Vojvodić, Gradimir (1999)
Novi Sad Journal of Mathematics
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A. M. Stokolos (2006)
Colloquium Mathematicae
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The study of one-dimensional rare maximal functions was started in [4,5]. The main result in [5] was obtained with the help of some general procedure. The goal of the present article is to adapt the procedure (we call it "dyadic crystallization") to the multidimensional setting and to demonstrate that rare maximal functions have properties not better than the Strong Maximal Function.
Haddad, Lucien, Lau, Dietlinde (2000)
Beiträge zur Algebra und Geometrie
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Carlo Sbordone, Ingemar Wik (1994)
Publicacions Matemàtiques
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The famous result of Muckenhoupt on the connection between weights w in A-classes and the boundedness of the maximal operator in L(w) is extended to the case p = ∞ by the introduction of the geometrical maximal operator. Estimates of the norm of the maximal operators are given in terms of the A-constants. The equality of two differently defined A-constants is proved. Thereby an answer is given to a question posed by R. Johnson. For non-increasing functions on the positive real line a...
Ali Reza Ashrafi, Rasoul Soleimani (2001)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Antonio Vera López, Gustavo A. Fernández Alcober (1989)
Extracta Mathematicae
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Nakaoka, Fumie, Oda, Nobuyuki (2003)
International Journal of Mathematics and Mathematical Sciences
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H. Länger (1978)
Fundamenta Mathematicae
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Antonio Vera López, Gustavo A. Fernández Alcober (1989)
Extracta Mathematicae
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