Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/9174
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Prat, Laura | cat |
dc.date.accessioned | 2009-08-20T12:25:48Z | - |
dc.date.available | 2009-08-20T12:25:48Z | - |
dc.date.issued | 2004 | cat |
dc.identifier.issn | 1073-7928 | cat |
dc.identifier.uri | http://hdl.handle.net/2445/9174 | - |
dc.description.abstract | In this paper, we study the natural capacity γα related to the Riesz kernels x/∣x∣1 + α in ℝn, where 0 < α < n. For noninteger α, an unexpected behaviour arises: for 0 < α < 1, compact sets in ℝn with finite α-Hausdorff measure have zero γα capacity. In the Ahlfors-David regular case, for any noninteger index α, 0 < α < n, we prove that compact sets of finite α-Hausdorff measure have zero γα capacity. | - |
dc.format.extent | 45 p. | cat |
dc.format.mimetype | application/pdf | eng |
dc.language.iso | eng | eng |
dc.publisher | Duke University Press | cat |
dc.relation.isformatof | Reproducció del document publicat a http://dx.doi.org/10.1155/S107379280413033X | cat |
dc.relation.ispartof | International Mathematics Research Notices, 2004, vol. 2004, núm. 19, p. 937-981. | cat |
dc.relation.uri | http://dx.doi.org/10.1155/S107379280413033X | - |
dc.rights | (c) Duke University Press, 2004 | cat |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Teoria del potencial (Matemàtica) | cat |
dc.subject.classification | Geometria algebraica | cat |
dc.subject.other | Potentials and capacities | eng |
dc.subject.other | Hausdorff and packing measures | eng |
dc.title | Potential theory of signed Riesz Kernels: capacity and Hausdorff measure | eng |
dc.type | info:eu-repo/semantics/article | eng |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 514784 | cat |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
514784.pdf | 396.77 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.