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.

Keywords: Wavelet basis, unconditional basis, unconditional wavelet basis

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