Kyungpook Mathematical Journal

  • 제47권1호
  • /
  • Pages.105-118
  • /
  • 2007
  • /
  • 1225-6951(pISSN)
  • /
  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
권호 표지

New Two-Weight Imbedding Inequalities for $\mathcal{A}$-Harmonic Tensors

  • Gao, Hongya (College of Mathematics and Computer Science, Hebei University) ;
  • Chen, Yanmin (College of Mathematics and Computer Science, Hebei University) ;
  • Chu, Yuming (Department of Mathematics, Huzhou Normal College)
  • 투고 : 2005.12.26
  • 발행 : 2007.03.23
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초록

In this paper, we first define a new kind of two-weight-$A_r^{{\lambda}_3}({\lambda}_1,{\lambda}_2,{\Omega})$-weight, and then prove the imbedding inequalities for $\mathcal{A}$-harmonic tensors. These results can be used to study the weighted norms of the homotopy operator T from the Banach space $L^p(D,{\bigwedge}^l)$ to the Sobolev space $W^{1,p}(D,{\bigwedge}^{l-1})$, $l=1,2,{\cdots},n$, and to establish the basic weighted $L^p$-estimates for $\mathcal{A}$-harmonic tensors.

키워드

참고문헌

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