January 1, 1965Transactions of the American Mathematical SocietyOpen Access

On the structure of continuous functions of several variables

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Abstract

1)( ) iA(i) belongs to class Lip[a] if there are constants c and a, 0 < a g 1, for which I t(x) -t(y) I S | x -y | " for all points, x and y, in the domain of ^.

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Cite This Study

David A. Sprecher (1965) studied this question.

synapsesocial.com/papers/6a9cc8a405f4788b74b683fd https://doi.org/10.1090/s0002-9947-1965-0210852-x

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Abstract

1)( ) iA(i) belongs to class Lip[a] if there are constants c and a, 0 < a g 1, for which I t(x) -t(y) I S | x -y | " for all points, x and y, in the domain of ^.