{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,23]],"date-time":"2026-02-23T22:31:51Z","timestamp":1771885911616,"version":"3.50.1"},"reference-count":20,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2009,12,23]],"date-time":"2009-12-23T00:00:00Z","timestamp":1261526400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematische Nachrichten"],"published-print":{"date-parts":[[2010,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We prove sufficient conditions for the boundedness of the maximal operator on variable Lebesgue spaces with weights <jats:italic>\u03c6<jats:sub>t,\u03b3<\/jats:sub><\/jats:italic> (<jats:italic>\u03c4<\/jats:italic>) = |(<jats:italic>\u03c4<\/jats:italic> \u2013 <jats:italic>t<\/jats:italic>)<jats:sup><jats:italic>\u03b3<\/jats:italic> <\/jats:sup>|, where <jats:italic>\u03b3<\/jats:italic> is a complex number, over arbitrary Carleson curves. If the curve has different spirality indices at the point <jats:italic>t<\/jats:italic> and <jats:italic>\u03b3<\/jats:italic> is not real, then <jats:italic>\u03c6<jats:sub>t,\u03b3<\/jats:sub><\/jats:italic> is an oscillating weight lying beyond the class of radial oscillating weights considered recently by V. Kokilashvili, N. Samko, and S. Samko (\u00a9 2010 WILEY\u2010VCH Verlag GmbH &amp; Co. KGaA, Weinheim)<\/jats:p>","DOI":"10.1002\/mana.200810295","type":"journal-article","created":{"date-parts":[[2009,12,23]],"date-time":"2009-12-23T20:11:08Z","timestamp":1261599068000},"page":"85-93","source":"Crossref","is-referenced-by-count":7,"title":["Maximal operators on variable Lebesgue spaces with weights related to oscillations of Carleson curves"],"prefix":"10.1002","volume":"283","author":[{"given":"Alexei Yu.","family":"Karlovich","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2009,12,23]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"crossref","unstructured":"A.B\u00f6ttcher andYu. 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