完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.author | Spector, Daniel | en_US |
dc.date.accessioned | 2017-04-21T06:56:34Z | - |
dc.date.available | 2017-04-21T06:56:34Z | - |
dc.date.issued | 2016-06 | en_US |
dc.identifier.issn | 0944-2669 | en_US |
dc.identifier.uri | http://dx.doi.org/10.1007/s00526-016-1004-9 | en_US |
dc.identifier.uri | http://hdl.handle.net/11536/133953 | - |
dc.description.abstract | In this paper we connect Calderon and Zygmund\'s notion of L-p-differentiability (Calderon and Zygmund, Proc Natl Acad Sci USA 46: 1385-1389, 1960) with some recent characterizations of Sobolev spaces via the asymptotics of non-local functionals due to Bourgain, Brezis, and Mironescu (Optimal Control and Partial Differential Equations, pp. 439-455, 2001). We showhowthe results of the former can be generalized to the setting of the latter, while the latter results can be strengthened in the spirit of the former. As a consequence of these results we give several new characterizations of Sobolev spaces, a novel condition for whether a function of bounded variation is in the Sobolev space W-1,W-1, and complete the proof of a characterization of the Sobolev spaces recently claimed in (Leoni and Spector, J Funct Anal 261: 2926-2958, 2011; Leoni and Spector, J Funct Anal 266: 1106-1114, 2014). | en_US |
dc.language.iso | en_US | en_US |
dc.title | On a generalization of L-p-differentiability | en_US |
dc.identifier.doi | 10.1007/s00526-016-1004-9 | en_US |
dc.identifier.journal | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | en_US |
dc.citation.volume | 55 | en_US |
dc.citation.issue | 3 | en_US |
dc.contributor.department | 應用數學系 | zh_TW |
dc.contributor.department | Department of Applied Mathematics | en_US |
dc.identifier.wosnumber | WOS:000377830200019 | en_US |
顯示於類別: | 期刊論文 |