Interpolation of Besov spaces
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- by Ronald A. DeVore and Vasil A. Popov PDF
- Trans. Amer. Math. Soc. 305 (1988), 397-414 Request permission
Abstract:
We investigate Besov spaces and their connection with dyadic spline approximation in ${L_p}(\Omega )$, $0 < p \leqslant \infty$. Our main results are: the determination of the interpolation spaces between a pair of Besov spaces; an atomic decomposition for functions in a Besov space; the characterization of the class of functions which have certain prescribed degree of approximation by dyadic splines.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 305 (1988), 397-414
- MSC: Primary 46E35; Secondary 41A15, 46M35
- DOI: https://doi.org/10.1090/S0002-9947-1988-0920166-3
- MathSciNet review: 920166