Boundedness of fractional sublinear operators on weightedgrand Herz-Morrey spaces with Variable Exponents

Boundedness of fractional sublinear operators on weightedgrand Herz-Morrey spaces with Variable Exponents | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Boundedness of fractional sublinear operators on weightedgrand Herz-Morrey spaces with Variable Exponents zhenzhen Yang Yang, WanJing Zhang Zhang, Jing Zhang Zhang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3762087/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract In this paper, our goal is to further introduce the weighted grand variableHerz-Morrey spaces and establish the boundedness of fractional sublinear operatorsand their multilinear commutators on the weighted grand variable Herz-Morrey s-paces. The results are still new even in the unweighted setting, which generalizes theprevious work of Wang et al. [17] and Zhang et al. [19]. Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-3762087","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":260859698,"identity":"171fa85a-c5f9-4345-85d2-f05fa33b3172","order_by":0,"name":"zhenzhen Yang Yang","email":"","orcid":"","institution":"Yili Normal University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"zhenzhen","middleName":"Yang","lastName":"Yang","suffix":""},{"id":260859700,"identity":"c729d293-99f4-41fb-9bf0-d33403b8cfbc","order_by":1,"name":"WanJing Zhang Zhang","email":"","orcid":"","institution":"","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"WanJing","middleName":"Zhang","lastName":"Zhang","suffix":""},{"id":260859702,"identity":"6a13cb5a-c8a2-421c-af48-c40ea618c476","order_by":2,"name":"Jing Zhang Zhang","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAzUlEQVRIiWNgGAWjYFCCAwwMjA02cvzMzAcfEK/lYEOasWQ7W7IB8RYdbDiUaHCex0yAKNXyjacTP3/ccSDB+DCDGQNDjU00QS2MDWc3Sxw8cyfP7DBD2gOGY2m5DYS0MDOc3SBxsO1ZMVDLcQPGhsOEtbAxnN3842Db4cTNzYxtEkRp4WE4u00CpGUDMzMbcVokgFoszralGUscZmM2SCDGL/Izzm6+UdkGjMr+8x8ffKixIayFQeIAEieBoHIQ4Cds6igYBaNgFIx0AAAP60eWZsZa1QAAAABJRU5ErkJggg==","orcid":"","institution":"Yili Normal University","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Jing","middleName":"Zhang","lastName":"Zhang","suffix":""}],"badges":[],"createdAt":"2023-12-16 06:44:16","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3762087/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3762087/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":48859878,"identity":"41203fcb-b6f0-45b1-95de-54fa01516d8d","added_by":"auto","created_at":"2023-12-27 13:52:42","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":316317,"visible":true,"origin":"","legend":"","description":"","filename":"BoundednessoffractionalsublinearoperatorsonweightedgrandHerzMorreyspaceswithVariableExponents.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3762087/v1_covered_9d3497a0-bb54-45e1-b715-94027b097710.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Boundedness of fractional sublinear operators on weightedgrand Herz-Morrey spaces with Variable Exponents","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"","lastPublishedDoi":"10.21203/rs.3.rs-3762087/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3762087/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"In this paper, our goal is to further introduce the weighted grand variableHerz-Morrey spaces and establish the boundedness of fractional sublinear operatorsand their multilinear commutators on the weighted grand variable Herz-Morrey s-paces. 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