Abstract
We apply wavelets to study the generalized local Morrey-Campanato spaces $M_{\phi, p}(\mathbb{R}^{n})$ and their preduals. As applications, we characterize the multipliers on $M_{\phi, p}(\mathbb{R}^{n})$ and the stability of these spaces under the perturbation of Calderón-Zygmund operators. Our results indicate that there exist some $M_{\phi, p}(\mathbb{R}^{n})$ without unconditional basis. This fact shows that $M_{\phi, p}(\mathbb{R}^{n})$ have some different characteristics unlike the classical Morrey spaces.
Citation
Yueping Zhu. Qixiang Yang. Pengtao Li. "STABILITY AND MORREY SPACES RELATED TO MULTIPLIERS." Taiwanese J. Math. 19 (3) 819 - 848, 2015. https://doi.org/10.11650/tjm.19.2015.4449
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