Unconditional wavelet bases in Lebesgue spaces

Authors

YAN ZHANG
YUN ZHANG LI

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

83

Last Page

107

Recommended Citation

ZHANG, YAN and LI, YUN ZHANG (2018) "Unconditional wavelet bases in Lebesgue spaces," Turkish Journal of Mathematics: Vol. 42: No. 1, Article 9. https://doi.org/10.3906/mat-1606-9
Available at: https://journals.tubitak.gov.tr/math/vol42/iss1/9