January 1, 1984

Maximal functions measuring smoothness

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Abstract

Maximal functions which measure the smoothness of a function are intro duced and studied from the point of view of their relationship to classical smoothness and their use in proving embedding theorems, extension theorems and various results on differentiation. New spaces of functions which generalize Sobolev spaces are introduced. AMS(MOS) subject classifications (1980). Primary 26B35, 46E35, 26Al5 Secondary 42B25

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DeVore et al. (Sun,) studied this question.

synapsesocial.com/papers/6a228bd38a4701dbb7914f32 — DOI: https://doi.org/10.1090/memo/0293

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Authors

Ronald DeVore

Texas A&M University

Robert Sharpley

Journals

Memoirs of the American Mathematical Society

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Maximal functions measuring smoothness

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Abstract

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Cite this study

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Authors

Journals

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References and Citations

Citation Network

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