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Continuity and regularity for local multi-fractional new maximal operators

Bulletin des Sciences Mathématiques(2024)

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Abstract
In this paper, it is proved that the following form of local multilinear fractional new maximal operatorMφ,β,Ω(f→)(x)=sup0More
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Key words
multi-fractional new maximal operator,continuity,Sobolev boundedness,regularity,pointwise gradient inequality
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