Wavelet bases in rearrangement invariant function spaces
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- by Paolo M. Soardi PDF
- Proc. Amer. Math. Soc. 125 (1997), 3669-3673 Request permission
Abstract:
We point out that the well known characterization of $L^{p}$ spaces ($1<p<\infty$) in terms of orthogonal wavelet bases extends to any separable rearrangement invariant Banach function space $X$ on $R^{n}$ (equipped with Lebesgue measure) with nontrivial Boyd’s indices. Moreover we show that such bases are unconditional bases of $X$.References
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Additional Information
- Paolo M. Soardi
- Email: soardi@vmimat.mat.unimi.it
- Received by editor(s): July 17, 1996
- Communicated by: J. Marshall Ash
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 3669-3673
- MSC (1991): Primary 42C15
- DOI: https://doi.org/10.1090/S0002-9939-97-04207-X
- MathSciNet review: 1443168