{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,3]],"date-time":"2026-03-03T08:53:48Z","timestamp":1772528028047,"version":"3.50.1"},"reference-count":0,"publisher":"Wiley","issue":"59","license":[{"start":{"date-parts":[[2000,1,1]],"date-time":"2000-01-01T00:00:00Z","timestamp":946684800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2004,1]]},"abstract":"<jats:p>For a class of functions , including discontinuous functions of Carath\u00e9odory type, we establish that , where <jats:italic>u<\/jats:italic><jats:sup>*<\/jats:sup>(<jats:italic>x<\/jats:italic>) and <jats:italic>v<\/jats:italic><jats:sup>*<\/jats:sup>(<jats:italic>x<\/jats:italic>) denote the Schwarz symmetrizations of nonnegative functions <jats:italic>u<\/jats:italic> and <jats:italic>v<\/jats:italic>.<\/jats:p>","DOI":"10.1155\/s0161171204402348","type":"journal-article","created":{"date-parts":[[2004,11,22]],"date-time":"2004-11-22T12:56:14Z","timestamp":1101128174000},"page":"3129-3150","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Extensions of the Hardy\u2010Littlewood inequalities for Schwarz symmetrization"],"prefix":"10.1155","volume":"2004","author":[{"given":"H.","family":"Hajaiej","sequence":"first","affiliation":[]},{"given":"C. A.","family":"Stuart","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2004,11,22]]},"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2004\/141863.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/S0161171204402348","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,7]],"date-time":"2024-08-07T19:55:13Z","timestamp":1723060513000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/S0161171204402348"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,1]]},"references-count":0,"journal-issue":{"issue":"59","published-print":{"date-parts":[[2004,1]]}},"alternative-id":["10.1155\/S0161171204402348"],"URL":"https:\/\/doi.org\/10.1155\/s0161171204402348","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"value":"0161-1712","type":"print"},{"value":"1687-0425","type":"electronic"}],"subject":[],"published":{"date-parts":[[2004,1]]},"assertion":[{"value":"2004-02-04","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2004-11-22","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}