{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,16]],"date-time":"2026-04-16T07:13:23Z","timestamp":1776323603182,"version":"3.50.1"},"reference-count":31,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2012,3,7]],"date-time":"2012-03-07T00:00:00Z","timestamp":1331078400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2012,8]]},"DOI":"10.1007\/s10957-012-0012-y","type":"journal-article","created":{"date-parts":[[2012,3,6]],"date-time":"2012-03-06T16:27:11Z","timestamp":1331051231000},"page":"491-499","source":"Crossref","is-referenced-by-count":52,"title":["Embeddings for Morrey\u2013Lorentz Spaces"],"prefix":"10.1007","volume":"154","author":[{"given":"Maria Alessandra","family":"Ragusa","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2012,3,7]]},"reference":[{"key":"12_CR1","doi-asserted-by":"crossref","first-page":"37","DOI":"10.2307\/1969496","volume":"51","author":"G.G. Lorentz","year":"1950","unstructured":"Lorentz, G.G.: Some new functional spaces. Ann. Math. 51, 37\u201355 (1950)","journal-title":"Ann. Math."},{"key":"12_CR2","doi-asserted-by":"crossref","first-page":"411","DOI":"10.2140\/pjm.1951.1.411","volume":"1","author":"G.G. Lorentz","year":"1951","unstructured":"Lorentz, G.G.: On the theory of spaces \u039b. Pac. J. Math. 1, 411\u2013429 (1951)","journal-title":"Pac. J. Math."},{"key":"12_CR3","volume-title":"Trigonometric Series","author":"A. Zygmund","year":"1958","unstructured":"Zygmund, A.: Trigonometric Series, 2nd edn. Cambridge University Press, New York (1958)","edition":"2"},{"key":"12_CR4","first-page":"996","volume":"15","author":"R.A. Hunt","year":"1964","unstructured":"Hunt, R.A., Weiss, G.: The Marcinkiewicz interpolation theorem. Proc. Am. Math. Soc. 15, 996\u2013998 (1964)","journal-title":"Proc. Am. Math. Soc."},{"issue":"10","key":"12_CR5","doi-asserted-by":"crossref","first-page":"1401","DOI":"10.1007\/s11425-007-0101-9","volume":"50","author":"C.X. Miao","year":"2007","unstructured":"Miao, C.X., Yuang, B.Q.: Weak Morrey spaces and strong solutions to the Navier\u2013Stokes equations. Sci. China Ser. A 50(10), 1401\u20131417 (2007)","journal-title":"Sci. China Ser. A"},{"issue":"3","key":"12_CR6","first-page":"355","volume":"5","author":"M.A. Ragusa","year":"1994","unstructured":"Ragusa, M.A.: Regularity for weak solutions to the Dirichlet problem in Morrey space. Riv. Mat. Univ. Parma 5(3), 355\u2013369 (1994)","journal-title":"Riv. Mat. Univ. Parma"},{"key":"12_CR7","doi-asserted-by":"crossref","first-page":"113","DOI":"10.4064\/sm-24-2-113-190","volume":"24","author":"A.P. Calder\u00f3n","year":"1964","unstructured":"Calder\u00f3n, A.P.: Intermediate spaces and interpolation, the complex method. Studia Math. 24, 113\u2013190 (1964)","journal-title":"Studia Math."},{"key":"12_CR8","first-page":"1424","volume":"256","author":"J. Peetre","year":"1963","unstructured":"Peetre, J.: Nouvelles proprietes d\u2019espaces d\u2019interpolation. C. R. Acad. Sci. 256, 1424\u20131426 (1963)","journal-title":"C. R. Acad. Sci."},{"key":"12_CR9","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1007\/BF02684796","volume":"19","author":"J.-L. Lions","year":"1964","unstructured":"Lions, J.-L., Peetre, J.: Sur une classe d\u2019espaces d\u2019interpolation. Inst. Hautes \u00c9tudes Sci. Publ. Math. 19, 5\u201368 (1964)","journal-title":"Inst. Hautes \u00c9tudes Sci. Publ. Math."},{"key":"12_CR10","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1016\/0022-1236(73)90053-0","volume":"14","author":"N.M. Rivi\u00e9re","year":"1973","unstructured":"Rivi\u00e9re, N.M., Sagher, Y.: Interpolation operator between L \u221e and H 1, the real method. J. Funct. Anal. 14, 401\u2013409 (1973)","journal-title":"J. Funct. Anal."},{"key":"12_CR11","series-title":"Translation of Math. Monographs","volume-title":"Interpolation of linear operators","author":"S.G. Krein","year":"1982","unstructured":"Krein, S.G., Petunin, J.J., Yu, I., Semenov, E.M.: Interpolation of linear operators. Translation of Math. Monographs, vol.\u00a054. Am. Math. Soc., Providence (1982)"},{"issue":"2","key":"12_CR12","first-page":"89","volume":"21","author":"S.G. Krein","year":"1966","unstructured":"Krein, S.G., Petunin, J.J.: Scales of Banach spaces. Usp. Math. Nauk 21(2), 89\u2013168 (1966)","journal-title":"Usp. Math. Nauk"},{"key":"12_CR13","first-page":"194","volume-title":"Atti Cong. Un. Mat. Ital.","author":"E. Magenes","year":"1963","unstructured":"Magenes, E.: Spazi d\u2019interpolazione ed equazioni a derivate parziali. In: Atti Cong. Un. Mat. Ital., Genova, pp.\u00a0194\u2013197 (1963)"},{"key":"12_CR14","volume-title":"Inequalities","author":"H. Hardy","year":"1934","unstructured":"Hardy, H., Littlewood, J.E., Polya, G.: Inequalities. Cambridge University Press, Cambridge (1934)"},{"key":"12_CR15","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1007\/BF02547518","volume":"54","author":"H. Hardy","year":"1930","unstructured":"Hardy, H., Littlewood, J.E.: A maximal theorem with function-theoretic applications. Acta Math. 54, 81\u2013116 (1930)","journal-title":"Acta Math."},{"key":"12_CR16","volume-title":"S\u00e9minaire Boubaki","author":"A. Grothendieck","year":"1955","unstructured":"Grothendieck, A.: R\u00e9arrengments de fonctions et i\u0144egalit\u00e9s de convexit\u00e9 dans les alg\u00e8bres de von Neumann munies d\u2019une trace. In: S\u00e9minaire Boubaki, vol.\u00a0113 (1955)"},{"key":"12_CR17","first-page":"83","volume-title":"Proc. Sympos. in Analysis, Queen\u2019s Papers in Pure and Appl. Math.","author":"W.A.J. Luxemburg","year":"1967","unstructured":"Luxemburg, W.A.J.: Rearrangement-invariant Banach function spaces. In: Proc. Sympos. in Analysis, Queen\u2019s Papers in Pure and Appl. Math., vol.\u00a010, pp. 83\u2013144 (1967)"},{"key":"12_CR18","first-page":"92","volume":"117","author":"J.V. Ryff","year":"1965","unstructured":"Ryff, J.V.: Orbits of L 1-functions under doubly stochastic transformations. Trans. Am. Math. Soc. 117, 92\u2013100 (1965)","journal-title":"Trans. Am. Math. Soc."},{"key":"12_CR19","doi-asserted-by":"crossref","first-page":"449","DOI":"10.1016\/0022-247X(70)90038-7","volume":"31","author":"J.V. Ryff","year":"1970","unstructured":"Ryff, J.V.: Measure preserving transformations and rearrangements. J.\u00a0Math. Anal. Appl. 31, 449\u2013458 (1970)","journal-title":"J.\u00a0Math. Anal. Appl."},{"key":"12_CR20","unstructured":"Day, P.W.: Rearrangements of measurable functions. Thesis, California Institute of Technology (1970)"},{"key":"12_CR21","doi-asserted-by":"crossref","first-page":"383","DOI":"10.1090\/S0002-9947-1973-0318962-8","volume":"178","author":"P.W. Day","year":"1973","unstructured":"Day, P.W.: Decreasing rearrangements and doubly stochastic operators. Trans. Am. Math. Soc. 178, 383\u2013392 (1973)","journal-title":"Trans. Am. Math. Soc."},{"key":"12_CR22","series-title":"Queen\u2019s Papers in Pure and Appl. Math.","volume-title":"Equimeasurable Rearrangements of Functions","author":"K.M. Chong","year":"1971","unstructured":"Chong, K.M., Rice, N.M.: Equimeasurable Rearrangements of Functions. Queen\u2019s Papers in Pure and Appl. Math., vol.\u00a028. Queen\u2019s University, Kingston (1971)"},{"key":"12_CR23","doi-asserted-by":"crossref","DOI":"10.1142\/9789814360302","volume-title":"Weighted Inequalities in Lorentz and Orlicz Spaces","author":"V. Kokilashvili","year":"1991","unstructured":"Kokilashvili, V., Krbec, M.: Weighted Inequalities in Lorentz and Orlicz Spaces. World Scientific, Singapore (1991)"},{"key":"12_CR24","volume-title":"Pitman Monographs and Surveys in Pure and Applied Mathematics","author":"I. Genebashvili","year":"1998","unstructured":"Genebashvili, I., Gogatishvili, A., Kokilashvili, V., Krbec, M.: Weight theory for integral transforms on spaces of homogeneous type. In: Pitman Monographs and Surveys in Pure and Applied Mathematics, vol. 92. Longman, Harlow (1998)"},{"key":"12_CR25","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1023\/A:1022926015930","volume":"4","author":"M. Krbec","year":"1997","unstructured":"Krbec, M., Lang, J.: On embeddings between weighted Orlicz\u2013Lorentz spaces. Georgian Math.\u00a0J. 4, 117\u2013128 (1997)","journal-title":"Georgian Math.\u00a0J."},{"key":"12_CR26","doi-asserted-by":"crossref","first-page":"970","DOI":"10.1016\/j.jmaa.2007.05.078","volume":"338","author":"R. Agarval","year":"2008","unstructured":"Agarval, R., O\u2019Regan, D., Shakhmurov, V.B.: Separable anisotropic differential operators in weighted abstract spaces and applications. J.\u00a0Math. Anal. Appl. 338, 970\u2013983 (2008)","journal-title":"J.\u00a0Math. Anal. Appl."},{"issue":"6","key":"12_CR27","doi-asserted-by":"crossref","first-page":"842","DOI":"10.1134\/S0001434608110278","volume":"84","author":"V.B. Shakhmurov","year":"2008","unstructured":"Shakhmurov, V.B.: Embeddings and separable differential operators in spaces of Sobolev\u2013Lions type. Math. Notes 84(6), 842\u2013858 (2008)","journal-title":"Math. Notes"},{"key":"12_CR28","doi-asserted-by":"crossref","first-page":"932","DOI":"10.1016\/j.nonrwa.2009.01.037","volume":"11","author":"V.B. Shakhmurov","year":"2010","unstructured":"Shakhmurov, V.B., Shahmurova, A.: Nonlinear abstract boundary value problems modelling atmospheric dispersion of pollutants. Nonlinear Anal., Real World Appl. 11, 932\u2013951 (2010)","journal-title":"Nonlinear Anal., Real World Appl."},{"key":"12_CR29","volume-title":"Real Variable Methods in Harmonic Analysis","author":"A. Torchinsky","year":"1986","unstructured":"Torchinsky, A.: Real Variable Methods in Harmonic Analysis. Academic Press, San Diego (1986)"},{"key":"12_CR30","doi-asserted-by":"crossref","first-page":"126","DOI":"10.1090\/S0002-9947-1938-1501936-8","volume":"43","author":"C.B. Morrey","year":"1938","unstructured":"Morrey, C.B.: On the solutions of quasi-linear elliptic partial differential equations. Trans. Am. Math. Soc. 43, 126\u2013166 (1938)","journal-title":"Trans. Am. Math. Soc."},{"key":"12_CR31","first-page":"113","volume":"1","author":"M.A. Ragusa","year":"2000","unstructured":"Ragusa, M.A.: C (0,\u03b1)-regularity of the solution of the Dirichlet problem for elliptic equations in divergence form. Int. J. Differ. Equ. Appl. 1, 113\u2013125 (2000)","journal-title":"Int. J. Differ. Equ. Appl."}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-012-0012-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10957-012-0012-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-012-0012-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,25]],"date-time":"2019-06-25T01:10:32Z","timestamp":1561425032000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10957-012-0012-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,3,7]]},"references-count":31,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2012,8]]}},"alternative-id":["12"],"URL":"https:\/\/doi.org\/10.1007\/s10957-012-0012-y","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"value":"0022-3239","type":"print"},{"value":"1573-2878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,3,7]]}}}