On the boundedness of a certain class of maximal functions on product spaces and extrapolation

Al-Dolat, Mohammed; Ali, Mohammed; Jaradat, Imad; Al-Zoubi, Khaldoun

doi:10.1007/s13324-018-0208-x

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Introduction and Main Results1

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2018

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“…In fact, he investigated the ( ) boundedness of under the condition for some . For more information about the importance and the recent advances on the study of such operators, the readers are referred to [ 1 , 2 , 5 , 27 ], and the references therein.…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

Boundedness of a class of rough maximal functions

Ali

Al-mohammed

2018

J Inequal Appl

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In this work, we obtain appropriate sharp bounds for a certain class of maximal operators along surfaces of revolution with kernels in , . By using these bounds and using an extrapolation argument, we establish the boundedness of the maximal operators when their kernels are in or in the block space . Our main results represent significant improvements as well as natural extensions of what was known previously.

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