$$\mathbf {L^p\rightarrow L^q}$$ bounds for spherical maximal operators
$$\mathbf {L^p\rightarrow L^q}$$ bounds for spherical maximal operators
复制标题
$$mathbf {L^p ightarrow L^q}$$ 球形极大算子的界限
DOI：
10.1007/s00209-020-02546-0
复制
发表时间：
2021
影响因子：
0.8
通讯作者：
Seeger, A.
中科院分区：
文献类型：
--
作者：
Anderson, T.;Hughes, K.;Roos, J.;Seeger, A.
Let,, and letbe the average offover the sphere with radiustcentered atx. For a subsetEof [1, 2] we prove close to sharpestimates for the maximal function. A new feature is the dependence of the results on both the upper Minkowski dimension ofEand the Assouad dimension ofE. The result can be applied to prove sparse domination bounds for a related global spherical maximal function.
