Abstract

In this paper, we prove that an orthonormal wavelet basis associated with a general isotropic expansive matrix must be an unconditional basis for all $L^{p}$(ℝ${}^{d})$ with $1$<$p$<$\infty$, provided the wavelet functions satisfy some usual conditions.

DOI

10.3906/mat-1606-9

Keywords

Wavelet basis, unconditional basis, unconditional wavelet basis

First Page

Last Page

107

Recommended Citation

ZHANG, Y, & LI, Y. Z (2018). Unconditional wavelet bases in Lebesgue spaces. Turkish Journal of Mathematics 42 (1): 83-107. https://doi.org/10.3906/mat-1606-9

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