{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T15:40:35Z","timestamp":1774626035667,"version":"3.50.1"},"reference-count":0,"publisher":"Cambridge University Press (CUP)","issue":"6","license":[{"start":{"date-parts":[[2007,7,12]],"date-time":"2007-07-12T00:00:00Z","timestamp":1184198400000},"content-version":"unspecified","delay-in-days":953,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Proceedings of the Royal Society of Edinburgh: Section A Mathematics"],"published-print":{"date-parts":[[2004,12]]},"abstract":"<jats:p>We establish sharpness of embedding theorems for Bessel-potential spaces modelled upon Lorentz\u2013Karamata (LK) spaces and we prove the non-compactness of such embeddings. Target spaces in our embeddings are LK spaces. As a consequence of our results, we get growth envelopes of Bessel-potential spaces modelled upon LK spaces.<\/jats:p>","DOI":"10.1017\/s0308210500003668","type":"journal-article","created":{"date-parts":[[2007,7,16]],"date-time":"2007-07-16T10:53:37Z","timestamp":1184583217000},"page":"1127-1147","source":"Crossref","is-referenced-by-count":17,"title":["Optimality of embeddings of Bessel-potential-type spaces into Lorentz\u2013Karamata spaces"],"prefix":"10.1017","volume":"134","author":[{"given":"Amiran","family":"Gogatishvili","sequence":"first","affiliation":[]},{"given":"Bohum\u00edr","family":"Opic","sequence":"additional","affiliation":[]},{"given":"J\u00falio S.","family":"Neves","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2007,7,12]]},"container-title":["Proceedings of the Royal Society of Edinburgh: Section A Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0308210500003668","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,6]],"date-time":"2019-05-06T19:46:48Z","timestamp":1557172008000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0308210500003668\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,12]]},"references-count":0,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2004,12]]}},"alternative-id":["S0308210500003668"],"URL":"https:\/\/doi.org\/10.1017\/s0308210500003668","relation":{},"ISSN":["0308-2105","1473-7124"],"issn-type":[{"value":"0308-2105","type":"print"},{"value":"1473-7124","type":"electronic"}],"subject":[],"published":{"date-parts":[[2004,12]]}}}