{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T13:30:17Z","timestamp":1740144617975,"version":"3.37.3"},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"6","funder":[{"name":"Laboratory of Mathematics and Complex Systems"},{"DOI":"10.13039\/501100001809","name":"NNSFC","doi-asserted-by":"crossref","award":["11131003"],"award-info":[{"award-number":["11131003"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"NNSFC","doi-asserted-by":"crossref","award":["11201073"],"award-info":[{"award-number":["11201073"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Program for New Century Excellent Talents in Universities of Fujian","award":["JA12053"],"award-info":[{"award-number":["JA12053"]}]},{"name":"Program for Nonlinear Analysis and Its Applications","award":["IRTL1206"],"award-info":[{"award-number":["IRTL1206"]}]},{"name":"Portuguese Science Foundation","award":["\u201cProbabilistic approach to finite and infinite\ndimensional dynamical systems\u201d (PTDC\/MAT\/104173\/2008)"],"award-info":[{"award-number":["\u201cProbabilistic approach to finite and infinite\ndimensional dynamical systems\u201d (PTDC\/MAT\/104173\/2008)"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015,11,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>Perturbations of super Poincar\u00e9 and weak Poincar\u00e9 inequalities for L\u00e9vy type Dirichlet forms are studied. When the range of jumps is finite, our results are natural extensions to the corresponding ones derived earlier for diffusion processes; and we show that the study for the situation with infinite range of jumps is essentially different. Some examples are presented to illustrate the optimality of our results.<\/jats:p>","DOI":"10.1515\/forum-2013-0164","type":"journal-article","created":{"date-parts":[[2014,6,23]],"date-time":"2014-06-23T09:55:33Z","timestamp":1403517333000},"page":"3477-3507","source":"Crossref","is-referenced-by-count":2,"title":["Perturbations of functional inequalities for L\u00e9vy type Dirichlet forms"],"prefix":"10.1515","volume":"27","author":[{"given":"Xin","family":"Chen","sequence":"first","affiliation":[{"name":"Grupo de Fisica Matematica, Universidade de Lisboa, Av Prof Gama Pinto 2, Lisbon 1649-003, Portugal"}]},{"given":"Feng-Yu","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P. R. China; and Department of Mathematics, Swansea University, Singleton Park, SA2 8PP, United Kingdom"}]},{"given":"Jian","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, P. R. China"}]}],"member":"374","published-online":{"date-parts":[[2014,6,21]]},"container-title":["Forum Mathematicum"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/forum-2013-0164\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/forum-2013-0164\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T23:38:23Z","timestamp":1680305903000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/forum-2013-0164\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,6,21]]},"references-count":0,"journal-issue":{"issue":"6","published-online":{"date-parts":[[2014,5,16]]},"published-print":{"date-parts":[[2015,11,1]]}},"alternative-id":["10.1515\/forum-2013-0164"],"URL":"https:\/\/doi.org\/10.1515\/forum-2013-0164","relation":{},"ISSN":["0933-7741","1435-5337"],"issn-type":[{"type":"print","value":"0933-7741"},{"type":"electronic","value":"1435-5337"}],"subject":[],"published":{"date-parts":[[2014,6,21]]}}}