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...

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Bibliographic Details
Main Authors: Mohammed Ali, Omar Al-mohammed
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