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Moduli of Continuity in $R^n$ and $D \subset R^n$

Z. Ditzian
Transactions of the American Mathematical Society
Vol. 282, No. 2 (Apr., 1984), pp. 611-623
DOI: 10.2307/1999256
Stable URL: http://www.jstor.org/stable/1999256
Page Count: 13
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Moduli of Continuity in $R^n$ and $D \subset R^n$
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Abstract

The $r$ modulus of continuity for $f \in C(R^n)$ is expressed in terms of $r$ moduli of continuity in $n$ independent directions. Generalizations to other spaces of functions on $R^n$ or $D \subset R^n$ are also given.

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