Maximal Functions Measuring Smoothness
Ronald A. DeVore · Robert C. Sharpley
Jan 1984 · American Mathematical Society: Memoirs of the American Mathematical Society Ibhuku elingu-293 · American Mathematical Soc.
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Maximal functions which measure the smoothness of a function are introduced 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.
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