Displaying similar documents to “The submaximal clones on the three-element set with finitely many relative R-classes”

Maximal functions and related weight classes.

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...

Definitions of finiteness based on order properties

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...