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- W4300878087 abstract "It is well known that if Hardy-Littlewood maximal operator is bounded in space $L^{p(cdot)}[0;1]$ then $1/p(cdot)in BMO^{1/log}$. On the other hand if $p(cdot)in BMO^{1/log},$ ($1<p_{-}leq p_{+}<infty$), then there exists $c>0$ such that Hardy-Littlewood maximal operator is bounded in $L^{p(cdot)+c}[0;1].$ Also There exists exponent $p(cdot)in BMO^{1/log},$ ($1<p_{-}leq p_{+}<infty$) such that Hardy-Littlewood maximal operator is not bounded in $L^{p(cdot)}[0;1]$. In the present paper we construct exponent $p(cdot),$ $(1<p_{-}leq p_{+}<infty)$, $1/p(cdot)in BLO^{1/log}$ such that Hardy-Littlewood maximal operator is not bounded in $L^{p(cdot)}[0;1]$." @default.
- W4300878087 created "2022-10-04" @default.
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- W4300878087 date "2014-12-21" @default.
- W4300878087 modified "2023-10-13" @default.
- W4300878087 title "Hardy-Littlewood Maximal Operator And $BLO^{1/log}$ Class of Exponents" @default.
- W4300878087 doi "https://doi.org/10.48550/arxiv.1412.6795" @default.
- W4300878087 hasPublicationYear "2014" @default.
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