Precomplete classes of operations on an uncountable set
Roy O. Davies, Ivo G. Rosenberg (1985)
Colloquium Mathematicae
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Roy O. Davies, Ivo G. Rosenberg (1985)
Colloquium Mathematicae
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Rade Doroslovački, Jovanka Pantović, Gradimir Vojvodić (1999)
Matematički Vesnik
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Haddad, Lucien, Lau, Dietlinde (2000)
Beiträge zur Algebra und Geometrie
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Antonio Vera López, Gustavo A. Fernández Alcober (1989)
Extracta Mathematicae
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Doroslovački, Rade, Pantović, Jovanka, Vojvodić, Gradimir (1999)
Novi Sad Journal of Mathematics
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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...
Karel Čuda (1989)
Commentationes Mathematicae Universitatis Carolinae
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Amiran Gogatishvili, Ushangi Goginava, George Tephnadze (2014)
Banach Center Publications
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We prove inclusion relations between generalizing Waterman's and generalized Wiener's classes for functions of two variable.
H. Länger (1978)
Fundamenta Mathematicae
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Denecke, K. (1994)
Acta Mathematica Universitatis Comenianae. New Series
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Omar De la Cruz, Damir D. Dzhafarov, Eric J. Hall (2006)
Fundamenta Mathematicae
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A definition of finiteness is a set-theoretical property of a set that, if the Axiom of Choice (AC) is assumed, is equivalent to stating that the set is finite; several such definitions have been studied over the years. In this article we introduce a framework for generating definitions of finiteness in a systematical way: basic definitions are obtained from properties of certain classes of binary relations, and further definitions are obtained from the basic ones by closing them...