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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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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


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.
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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:
  • MathSciNet review: 920166