Maximal Functions Measuring Smoothness
Ronald A. DeVore · Robert C. Sharpley
Jan 1984 · American Mathematical Society: Memoirs of the American Mathematical Society Kitabu cha 293 · American Mathematical Soc.
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reportUkadiriaji na maoni hayajahakikishwa Pata Maelezo Zaidi
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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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