单边多线性极大算子在Campanato空间上的有界性

Boundedness of One-Sided Multilinear Maximal Operators on Campanato Spaces

本文研究 Campanato空间上单边多线性极大算子的映射性质。利用Lebesgue空间上的有界性,证明了单边多线性Hardy-Littlewood极大算子和分数次极大算子是从单边Morrey空间到单边Campanato空间上有界的。

This paper studies the mapping properties of one-sided multilinear maximal operators on Campanato spaces. Using the boundedness on Lebesgue spaces, we prove that the one-sided multilinear Hardy-Littlewood maximal operators and fractional maximal operators are bounded from one-sided Morrey spaces to one-sided Campanato spaces.