Sharp growth conditions for boundedness of maximal function in generalized Orlicz space

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dc.contributor.authorHarjulehto Petteri
dc.contributor.authorKarppinen Arttu
dc.contributor.organizationfi=matematiikka|en=Mathematics|
dc.contributor.organization-code1.2.246.10.2458963.20.41687507875
dc.converis.publication-id174956943
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/174956943
dc.date.accessioned2022-10-28T12:27:01Z
dc.date.available2022-10-28T12:27:01Z
dc.description.abstract<p>We study sharp growth conditions for the boundedness of the Hardy-Littlewood maximal function in the generalized Orlicz spaces. We assume that the generalized Orlicz function satisfies the standard continuity properties (A0), (A1) and (A2). We show that if the Hardy-Littlewood maximal function is bounded from the generalized Orlicz space to itself then is almost increasing for large for some . Moreover we show that the Hardy-Littlewood maximal function is bounded from the generalized Orlicz space to itself if and only if is weakly equivalent to a generalized Orlicz function satisfying (A0), (A1) and (A2) for which is almost increasing for all and some . <br></p>
dc.format.pagerange489
dc.format.pagerange505
dc.identifier.eissn2737-114X
dc.identifier.jour-issn2737-0690
dc.identifier.olddbid176478
dc.identifier.oldhandle10024/159572
dc.identifier.urihttps://www.utupub.fi/handle/11111/31946
dc.identifier.urlhttps://doi.org/10.54330/afm.115122
dc.identifier.urnURN:NBN:fi-fe2022081154036
dc.language.isoen
dc.okm.affiliatedauthorHarjulehto, Petteri
dc.okm.affiliatedauthorKarppinen, Arttu
dc.okm.discipline111 Mathematicsen_GB
dc.okm.discipline111 Matematiikkafi_FI
dc.okm.internationalcopublicationnot an international co-publication
dc.okm.internationalityDomestic publication
dc.okm.typeA1 ScientificArticle
dc.publisherSuomen matemaattinen yhdistys ry
dc.publisher.countryFinlanden_GB
dc.publisher.countrySuomifi_FI
dc.publisher.country-codeFI
dc.publisher.placeHelsinki
dc.relation.doi10.54330/afm.115122
dc.relation.ispartofjournalAnnales Fennici Mathematici
dc.relation.issue1
dc.relation.volume47
dc.source.identifierhttps://www.utupub.fi/handle/10024/159572
dc.titleSharp growth conditions for boundedness of maximal function in generalized Orlicz space
dc.year.issued2022

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