A Mean Characterization of Weighted Anisotropic Besov and Triebel-Lizorkin Spaces
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چکیده
In this article, the authors study weighted anisotropic Besov and TriebelLizorkin spaces associated with expansive dilations and A∞ weights. The authors show that elements of these spaces are locally integrable when the smoothness parameter α is positive. The authors also characterize these spaces for small values of α in terms of a mean square function recently introduced in the context of Sobolev spaces in [Math. Ann. 354 (2012), 589-626] and isotropic Triebel-Lizorkin spaces in [Publ. Mat. 57 (2013), 57-82].
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تاریخ انتشار 2014