R
Robert Sharpley
Researcher at University of South Carolina
Publications - 52
Citations - 1797
Robert Sharpley is an academic researcher from University of South Carolina. The author has contributed to research in topics: Interpolation & Birnbaum–Orlicz space. The author has an hindex of 18, co-authored 52 publications receiving 1704 citations. Previous affiliations of Robert Sharpley include Sewanee: The University of the South & University of Rochester.
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Maximal Functions Measuring Smoothness
Ronald A. DeVore,Robert Sharpley +1 more
TL;DR: In this paper, Maximal functions which measure the smoothness of a function are studied from the point of view of their relationship to classical smoothness and their use in proving embedding theorems, extension theorem and various results on differentiation.
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Analysis of the Intrinsic Mode Functions
Robert Sharpley,Vesselin Vatchev +1 more
TL;DR: In this paper, the authors provide an alternate characterization of the Intrinsic Mode components into which the signal is decomposed and better understand the resulting polar representations, specifically the ones which are produced by the Hilbert transform of these intrinsic modes.
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BESOV SPACES ON DOMAINS IN Rd
Ronald A. DeVore,Robert Sharpley +1 more
TL;DR: In this paper, an extension operator W which is a bounded mapping from B°(LP(U)) onto B%(Lp(Rd)) is presented. And the authors derive various properties of the Besov spaces, such as interpolation theorems for a pair of B%{Lp{I2}, atomic decompositions for the elements of 5°(lp(f2), and a description of the space by means of spline approximation.
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Fractional integration in Orlicz spaces
TL;DR: Fractional integration and convolution results were given for Orlicz spaces using an inequality earlier developed for Aa(X~) spaces which generalize Lorentz L(p,q) spaces.