Morrey-Herz空间上分数阶积分算子的连续性

2014 International Conference on Machine Learning and Cybernetics Pub Date : 2014-07-13 DOI:10.1109/ICMLC.2014.7009711

Meng Zhou, Jian-Guo Shi, Yan-Fang Shi

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引用次数: 0

摘要

本文的目的是证明齐次空间上Morrey-Herz空间上分数阶积分算子的连续性。证明的方法是闵可夫斯基不等式和Hölde不等式。此外，所建立的函数空间分解在机器学习和控制论中有着广泛的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Continuity of the fractional integral operator on Morrey-Herz spaces

The purpose of this paper is to show the continuity of the fractional integral operator in Morrey-Herz spaces on homogeneous spaces. The method of the proof is the Minkowski's inequality and Hölde's inequality. Besides the decomposition of function spaces established is widely applied in machine learning and cybernetics.

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2014 International Conference on Machine Learning and Cybernetics

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