Besov spaces on domains in

Authors:
Ronald A. DeVore and Robert C. Sharpley

Journal:
Trans. Amer. Math. Soc. **335** (1993), 843-864

MSC:
Primary 46E35

MathSciNet review:
1152321

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Abstract: We study Besov spaces , , on domains in . We show that there is an extension operator which is a bounded mapping from onto . This is then used to derive various properties of the Besov spaces such as interpolation theorems for a pair of , atomic decompositions for the elements of , and a description of the Besov spaces by means of spline approximation.

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DOI:
http://dx.doi.org/10.1090/S0002-9947-1993-1152321-6

Article copyright:
© Copyright 1993
American Mathematical Society