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Continuous characterization of Besov spaces of variable smoothness and integrability. (arXiv:1810.04795v1 [math.FA])

来源于:arXiv
In this paper the authors obtain a new equivalent norms of the Besov spaces of variable smoothness and integrability. Our main tools are the continuous version of Calderon reproducing formula, maximal inequalities and variable exponent technique, but allowing the parameters to vary from point to point will raise extra difficulties which, in general, are overcome by imposing regularity assumptions on these exponents. 查看全文>>