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摘要
In this article, the authors study weighted anisotropic Besov and Triebel-Lizorkin spaces associated with expansive dilations and A(infinity)-weights. The authors show that elements of these spaces are locally integrable when the smoothness parameter alpha is positive. The authors also characterize these spaces for small values of alpha 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].
