通常Hölder条件下Hölder空间中混合分数阶微分算子的映射性质

T. Mamatov
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引用次数: 2

摘要

研究了两变量函数在Hölder不同阶空间中马尔绍形式的混合分数阶导数。我们考虑由每个变量的一阶差分和混合二阶差分定义的Hölder空间,主要关注的是在Hölder类的情况下,后者对于混合分数阶导数的评估。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Mapping Properties of Mixed Fractional Differentiation Operators in Hölder Spaces Defined by Usual Hölder Condition
We study mixed fractional derivative in Marchaud form of function of two variables in Hölder spaces of different orders in each variables. We consider Hölder spaces defined both by first order differences in each variable and also by the mixed second order difference, the main interest being in the evaluation of the latter for the mixed fractional derivative in the cases Hölder class.
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