{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T20:01:30Z","timestamp":1649102490288},"reference-count":2,"publisher":"Walter de Gruyter GmbH","issue":"1","license":[{"start":{"date-parts":[[2015,3,10]],"date-time":"2015-03-10T00:00:00Z","timestamp":1425945600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/3.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015,3,10]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Let M<jats:sub>X,w<\/jats:sub>(\u211d) denote the algebra of the Fourier multipliers on a separable weighted Banach function\nspace X(\u211d,w).We prove that if the Cauchy singular integral operator S is bounded on X(\u211d, w), thenM<jats:sub>X,w<\/jats:sub>(\u211d)\nis continuously embedded into L<jats:sup>\u221e<\/jats:sup>(\u211d). An important consequence of the continuous embedding M<jats:sub>X,w<\/jats:sub>(\u211d) \u2282\nL<jats:sup>\u221e<\/jats:sup>(\u211d) is that M<jats:sub>X,w<\/jats:sub>(\u211d) is a Banach algebra.<\/jats:p>","DOI":"10.1515\/conop-2015-0001","type":"journal-article","created":{"date-parts":[[2015,5,5]],"date-time":"2015-05-05T15:33:55Z","timestamp":1430840035000},"source":"Crossref","is-referenced-by-count":0,"title":["Banach algebra of the Fourier multipliers on weighted Banach function spaces"],"prefix":"10.1515","volume":"2","author":[{"given":"Alexei","family":"Karlovich","sequence":"first","affiliation":[{"name":"1Centro de Matem\u00e1tica e Aplica\u00e7\u00f5es, Departamento de Matem\u00e1tica, Faculdade de Ci\u00eancias e Tecnologia, Universidade Nova de Lisboa, Quinta da Torre, 2829\u2013516 Caparica, Portugal"}]}],"member":"374","reference":[{"key":"ref181","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1090\/S0002-9939-99-04998-9","article-title":"Math Multipliers for weighted Lp - spaces transference and the q - variation of functions Bull","author":"Berkson","year":"1999","journal-title":"Soc Sci"},{"key":"ref171","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1016\/S0079-8169(08)60845-4","article-title":"References Interpolation of Operators Pure and Applied Mathematics Academic Press Boston Two - weighted estimations for the Hardy - Littlewood maximal function in ideal Banach spaces","author":"Bennett","year":"1988","journal-title":"Proc Amer"}],"container-title":["Concrete Operators"],"original-title":[],"link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/conop\/open-issue\/article-10.1515-conop-2015-0001\/article-10.1515-conop-2015-0001.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/conop-2015-0001\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,21]],"date-time":"2021-04-21T21:31:17Z","timestamp":1619040677000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/conop-2015-0001\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,3,10]]},"references-count":2,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.1515\/conop-2015-0001","relation":{},"ISSN":["2299-3282"],"issn-type":[{"value":"2299-3282","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,3,10]]}}}