Boundedness of a class of rough maximal functions
Abstract In this work, we obtain appropriate sharp bounds for a certain class of maximal operators along surfaces of revolution with kernels in Lq(Sn−1) $L^{q}(\mathbf{S}^{n-1})$, q>1 $q > 1$. By using these bounds and using an extrapolation argument, we establish the Lp $L^{p}$ boundedness of...
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2018-11-01
|
Series: | Journal of Inequalities and Applications |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13660-018-1900-y |