{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,9]],"date-time":"2025-11-09T07:38:11Z","timestamp":1762673891109,"version":"3.37.3"},"reference-count":22,"publisher":"Wiley","license":[{"start":{"date-parts":[[2012,1,1]],"date-time":"2012-01-01T00:00:00Z","timestamp":1325376000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11101165"],"award-info":[{"award-number":["11101165"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2012]]},"abstract":"<jats:p>We study the class of -harmonic -quasiconformal mappings with angular ranges. After building a differential equation for the hyperbolic metric of an angular range, we obtain the sharp bounds of their hyperbolically partial derivatives, determined by the quasiconformal constant . As an application we get their hyperbolically bi-Lipschitz continuity and their sharp hyperbolically bi-Lipschitz coefficients.<\/jats:p>","DOI":"10.1155\/2012\/569481","type":"journal-article","created":{"date-parts":[[2012,8,9]],"date-time":"2012-08-09T17:03:03Z","timestamp":1344531783000},"page":"1-13","source":"Crossref","is-referenced-by-count":3,"title":["Hyperbolically Bi-Lipschitz Continuity for -Harmonic Quasiconformal Mappings"],"prefix":"10.1155","volume":"2012","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4187-8330","authenticated-orcid":true,"given":"Xingdi","family":"Chen","sequence":"first","affiliation":[{"name":"Department of Mathematics, Huaqiao University, Fujian, Quanzhou 362021, China"}]}],"member":"311","reference":[{"key":"9","doi-asserted-by":"publisher","DOI":"10.2307\/2373037"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1112\/blms\/10.1.1"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511546600"},{"key":"1","doi-asserted-by":"publisher","DOI":"10.2307\/2000888"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2009.07.057"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2011.07.001"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1080\/0278107021000037001"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1007\/s00209-007-0270-9"},{"issue":"2","key":"13","first-page":"475","volume":"34","year":"2009","journal-title":"Annales Academi\u00e6 Scientiarium Fennic\u00e6"},{"issue":"1","key":"15","first-page":"159","volume":"30","year":"2005","journal-title":"Annales Academi\u00e6 Scientiarium Fennic\u00e6"},{"key":"19","first-page":"1","volume":"425","year":"1968","journal-title":"Annales Academi\u00e6 Scientiarum Fennic\u00e6 Mathematica"},{"issue":"2","key":"22","first-page":"579","volume":"32","year":"2007","journal-title":"Annales Academi\u00e6 Scientiarium Fennic\u00e6"},{"issue":"2","key":"23","first-page":"365","volume":"27","year":"2002","journal-title":"Annales Academi\u00e6 Scientiarium Fennic\u00e6"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2010.02.031"},{"issue":"3","key":"7","first-page":"351","volume":"31","year":"2010","journal-title":"Journal of Huaqiao University"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2006.12.069"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1155\/2010\/178732"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1007\/BF02916757"},{"key":"17","first-page":"25","volume":"13","year":"1992","journal-title":"Zbornik Radova PMF"},{"year":"1966","key":"4"},{"year":"1973","series-title":"McGraw-Hill Series in Higher Mathematics","key":"5"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1936-06397-4"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/569481.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/569481.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/569481.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,8,3]],"date-time":"2016-08-03T03:57:55Z","timestamp":1470196675000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/ijmms\/2012\/569481\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"references-count":22,"alternative-id":["569481","569481"],"URL":"https:\/\/doi.org\/10.1155\/2012\/569481","relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2012]]}}}