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Volume 16, Issue 2
The Compactness Theorem of SBVH() in the Heisenberg Group Hn

Yingqing Song & Xiaoping Yang

J. Part. Diff. Eq., 16 (2003), pp. 148-156.

Published online: 2003-05

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  • Abstract
In this paper we aim to show a compactness theorem for SBV_H(Ω) of special functions u with bounded variation and with ∇^c_Hu = 0 in the Heisenberg group H^n.
  • Keywords

SBV_H(Ω) function Heisenberg group decomposition of Radon measure compactness theorem

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@Article{JPDE-16-148, author = {}, title = {The Compactness Theorem of SBVH() in the Heisenberg Group Hn}, journal = {Journal of Partial Differential Equations}, year = {2003}, volume = {16}, number = {2}, pages = {148--156}, abstract = { In this paper we aim to show a compactness theorem for SBV_H(Ω) of special functions u with bounded variation and with ∇^c_Hu = 0 in the Heisenberg group H^n.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5413.html} }
TY - JOUR T1 - The Compactness Theorem of SBVH() in the Heisenberg Group Hn JO - Journal of Partial Differential Equations VL - 2 SP - 148 EP - 156 PY - 2003 DA - 2003/05 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5413.html KW - SBV_H(Ω) function KW - Heisenberg group KW - decomposition of Radon measure KW - compactness theorem AB - In this paper we aim to show a compactness theorem for SBV_H(Ω) of special functions u with bounded variation and with ∇^c_Hu = 0 in the Heisenberg group H^n.
Yingqing Song & Xiaoping Yang . (2019). The Compactness Theorem of SBVH() in the Heisenberg Group Hn. Journal of Partial Differential Equations. 16 (2). 148-156. doi:
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