{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T14:02:16Z","timestamp":1742997736929,"version":"3.40.3"},"publisher-location":"Cham","reference-count":17,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030744168"},{"type":"electronic","value":"9783030744175"}],"license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021]]},"DOI":"10.1007\/978-3-030-74417-5_16","type":"book-chapter","created":{"date-parts":[[2021,11,18]],"date-time":"2021-11-18T23:02:40Z","timestamp":1637276560000},"page":"105-112","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Toeplitz Operators Between Distinct Abstract Hardy Spaces"],"prefix":"10.1007","author":[{"given":"Alexei","family":"Karlovich","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,11,19]]},"reference":[{"key":"16_CR1","volume-title":"Interpolation of Operators","author":"C Bennett","year":"1988","unstructured":"C. Bennett, R. Sharpley, Interpolation of Operators (Academic, Boston, 1988)"},{"key":"16_CR2","volume-title":"Analysis of Toeplitz Operators","author":"A B\u00f6ttcher","year":"2006","unstructured":"A. B\u00f6ttcher, B. Silbermann, Analysis of Toeplitz Operators, 2nd edn. (Springer, Berlin, 2006)","edition":"2"},{"key":"16_CR3","doi-asserted-by":"crossref","unstructured":"A. Brown, P.R. Halmos, Algebraic properties of Toeplitz operators. J. Reine Angew. Math. 213, 89\u2013102 (1963\/64)","DOI":"10.1515\/crll.1964.213.89"},{"key":"16_CR4","doi-asserted-by":"publisher","first-page":"4115","DOI":"10.1090\/tran\/6446","volume":"368","author":"I Chalendar","year":"2016","unstructured":"I. Chalendar, S.R. Garcia, W.T. Ross, D. Timotin, An extremal problem for characteristic functions. Trans. Amer. Math. Soc. 368, 4115\u20134135 (2016)","journal-title":"Trans. Amer. Math. Soc."},{"key":"16_CR5","unstructured":"P.L. Duren, Theory of $$H^p$$Spaces (Academic, New York, 1970)"},{"key":"16_CR6","doi-asserted-by":"crossref","unstructured":"A. Yu. Karlovich, Norms of Toeplitz and Hankel operators on Hardy type subspaces of rearrangement-invariant spaces. Integr. Equ. Oper. Theory 49, 43\u201364 (2004)","DOI":"10.1007\/s00020-002-1190-z"},{"key":"16_CR7","doi-asserted-by":"crossref","unstructured":"A. Yu. Karlovich, Toeplitz operators on abstract Hardy spaces built upon Banach function spaces. J. Funct. Spaces 2017 (2017), Article ID 9768210, 8 pages","DOI":"10.1155\/2017\/9768210"},{"key":"16_CR8","doi-asserted-by":"crossref","unstructured":"A. Karlovich, E. Shargorodsky, More on the density of analytic polynomials in abstract Hardy spaces, in The Diversity and Beauty of Applied Operator Theory. Operator Theory: Advances and Applications, vol. 268 (2018), pp. 319\u2013329","DOI":"10.1007\/978-3-319-75996-8_16"},{"key":"16_CR9","doi-asserted-by":"publisher","first-page":"246","DOI":"10.1016\/j.jmaa.2018.11.022","volume":"472","author":"A Karlovich","year":"2019","unstructured":"A. Karlovich, E. Shargorodsky, The Brown-Halmos theorem for a pair of abstract Hardy spaces. J. Math. Anal. Appl. 472, 246\u2013265 (2019)","journal-title":"J. Math. Anal. Appl."},{"key":"16_CR10","doi-asserted-by":"publisher","first-page":"163","DOI":"10.4064\/sm180207-9-7","volume":"249","author":"K Le\u015bnik","year":"2019","unstructured":"K. Le\u015bnik, Toeplitz and Hankel operators between distinct Hardy spaces. Studia Math. 249, 163\u2013192 (2019)","journal-title":"Studia Math."},{"key":"16_CR11","doi-asserted-by":"publisher","first-page":"323","DOI":"10.1016\/S1385-7258(89)80007-1","volume":"51","author":"L Maligranda","year":"1989","unstructured":"L. Maligranda, L.E. Persson, Generalized duality of some Banach function spaces. Indag. Math. 51, 323\u2013338 (1989)","journal-title":"Indag. Math."},{"key":"16_CR12","unstructured":"N.K. Nikolski, Operators, Functions, and Systems: An Easy Reading, vol. 1 (Hardy, Hankel, and Toeplitz. American Mathematical Society, Providence, 2002)"},{"key":"16_CR13","doi-asserted-by":"publisher","DOI":"10.1017\/9781316882108","volume-title":"Hardy Spaces","author":"NK Nikolski","year":"2019","unstructured":"N.K. Nikolski, Hardy Spaces (Cambridge University Press, Cambridge, 2019)"},{"key":"16_CR14","doi-asserted-by":"publisher","first-page":"439","DOI":"10.4171\/RMI\/840","volume":"31","author":"Y Qiu","year":"2015","unstructured":"Y. Qiu, On the effect of rearrangement on complex interpolation for families of Banach spaces. Rev. Mat. Iberoam. 31, 439\u2013460 (2015)","journal-title":"Rev. Mat. Iberoam."},{"key":"16_CR15","doi-asserted-by":"crossref","unstructured":"O. Toeplitz, Zur Theorie der quadratischen und bilinearen Formen von unendlichvielen Ver\u00e4nderlichen. I. Teil: Theorie der $$L$$-Formen. Math. Ann. 70, 351\u2013376 (1911)","DOI":"10.1007\/BF01564502"},{"key":"16_CR16","doi-asserted-by":"publisher","first-page":"1359","DOI":"10.1007\/BF01327046","volume":"37","author":"VA Tolokonnikov","year":"1987","unstructured":"V.A. Tolokonnikov, Hankel and Toeplitz operators in Hardy spaces. J. Soviet Math. 37, 1359\u20131364 (1987)","journal-title":"J. Soviet Math."},{"key":"16_CR17","doi-asserted-by":"publisher","first-page":"875","DOI":"10.5802\/aif.1313","volume":"42","author":"Q Xu","year":"1992","unstructured":"Q. Xu, Notes on interpolation of Hardy spaces. Ann. Inst. Fourier 42, 875\u2013889 (1992)","journal-title":"Ann. Inst. Fourier"}],"container-title":["Trends in Mathematics","Extended Abstracts Fall 2019"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-74417-5_16","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,11,18]],"date-time":"2021-11-18T23:04:11Z","timestamp":1637276651000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-74417-5_16"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"ISBN":["9783030744168","9783030744175"],"references-count":17,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-74417-5_16","relation":{},"ISSN":["2297-0215","2297-024X"],"issn-type":[{"type":"print","value":"2297-0215"},{"type":"electronic","value":"2297-024X"}],"subject":[],"published":{"date-parts":[[2021]]},"assertion":[{"value":"19 November 2021","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}