On a class of sublinear operators in variable exponent Morrey-type spaces
On a class of sublinear operators in variable exponent Morrey-type spaces
复制标题
变指数Morrey型空间中的一类次线性算子
DOI：
10.1080/17476933.2021.1924156
复制
发表时间：
2021
影响因子：
0.9
通讯作者：
S. Samko
中科院分区：
文献类型：
--
作者：
H. Rafeiro;S. Samko
对于一类次线性算子，我们在变指数Morrey-型空间上找到了保证该空间有界性的条件。关于这一类的先验假设是，算子是有界的，并且满足一定的大小条件。这类算子特别包括极大算子、具有标准核的奇异算子和Hardy算子。我们还证明了变指数Morrey型空间嵌入到加权空间。
For a class of sublinear operators, we find conditions on the variable exponent Morrey-type space ensuring the boundedness in this space. A priori assumptions on this class are that the operators are bounded in and satisfy some size condition. This class includes in particular the maximal operator, singular operators with the standard kernel, and the Hardy operators. We also prove embedding of variable exponent Morrey-type spaces into weighted -spaces.