英语论文网 英语论文网为您写调和Dirichlet空间上小Hankel算子的乘积(英文)英文论文提供相关论文范文资料参考!希望对您的论文写作有帮助,请 或分享我们
    英语论文
您当前位置:英语论文网 >> 英语论文 >> 浏览文章>>调和Dirichlet空间上小Hankel算子的乘积(英文)论文
调和Dirichlet空间上小Hankel算子的乘积(英文)论文

导读:本论文是一篇关于调和Dirichlet空间上小Hankel算子的乘积(英文)的优秀论文范文,对正在写有关于调和Dirichlet空间上小Hankel算子的乘积(英文)论文的写作者有一定的参考和指导作用,《调和Dirichlet空间上小Hankel算子的乘积(英文)论文》论文片段: equations (14),(18), (19) and equations (16), (19), we have the following equations (a′) and (b′) respectively. Compare equation (15),(18) and equations(17),(18), (19), we obtain the following equations (c′) and (d′) respectively.   Zhang Z L, Zhao L K. Toeplitz algebra on the Harmonic Dirich

调和Dirichlet空间上小Hankel算子的乘积(英文)论文WORD版下载 英语论文范文 :
AbstractIn this paper, we study small Hankel operators with harmonic symbols on the harmonic Dirichlet space, completely characterize the condition for the cummutativity and zero-product of small Hankel operators.
  Key wordsHarmonic Dirichlet space; Small Hankel operator; Commutativity; Zero product CLC numberO 177.1Document codeA
  Let D be the open unit disk in the complex plane C and dA be the normalized area measure on D. The Sobolev space S is the completion of the space of smooth function f on D such that
  E
  Recently, products of Toeplitz operators and Hankel operators on the Dirich-
  let space have been studied intensively[2?9]. As has implied[10?15], the theory of Toeplitz operators on harmonic function space is quite different from the theory on analytic function space. For the operators on harmonic Dirichlet space, (semi-) commutativity[15]and zero-product[16]of Toeplitz operators on Dhwith symbols in M have been completely characterize. In this paper, for symbols in M, we consider the problem when two small Hankel operators is commutativity. By using the matrix representation of small Hankel operator on harmonic Dirichlet space, we give a complete characterization of such operators to be commutativity. By using a similar method, the zero-product of small Hankel operators is also characterized.
  2Preliminaries
  Recall that U is the operator on S defined by (Uf)(z) = f(ˉz), f∈S, and U is an unitary on S, U?= U = U?1[1]. For simplicity, for f∈S, denote?f as Uf, i.e.,?f(z) = f(ˉz).
  Let P be the orthogonal projection from S onto D and P1be the orthogonal projection from S ontoˉD, then P1= UPU[1]. Similarly, for the orthogonal projection Q, we have the following result.
  As the computation in Theorem 1, by equations above, we obtain the following equations.
  Compare equations (14),(18), (19) and equations (16), (19), we have the following equations (a′) and (b′) respectively. Compare equation (15),(18) and equations(17),(18), (19), we obtain the following equations (c′) and (d′) respectively.
  [1] Zhang Z L, Zhao L K. Toeplitz algebra on the Harmonic Dirichlet space. J Fudan Univ Nat Sci, 2008, 47(2): 251-259.
  [2] Lee Y J. Finite rank sums of products of Toeplitz and Hankel operators. J Math Anal Appl, 2013, 397: 503-514.
  [3] Lee Y J, Zhu K H. Sums of products of Toeplitz and Hankel operators on the Dirichlet space. Integr Equ Oper Theory, 2011, 71: 275-302.

关于调和Dirichlet空间上小Hankel算子的乘积(英文)论文范文下载

47(2): 251-259.   Lee Y J. Finite rank sums of products of Toeplitz and Hankel operators. J Math Anal Appl, 2013, 397: 503-514.   Lee Y J, Zhu K H. Sums of products of Toeplitz and Hankel operators on the Dirichlet space. Integr Equ Oper Theory, 2011, 71: 275-302.WWw.YingyuLunwen.com 英语论文网整理提供

    英语论文

郑重声明:未经授权禁止对本站论文进行摘编、转载、复制或建立镜像。如有违反,将追究其法律责任!
免责声明:本站部分论文范文由网友上传,由于数量过多,我们无法考究每篇论文的来源及作者,如果版权问题,请及时联系我们删除或改正!
调和Dirichlet空间上小Hankel算子的乘积(英文)论文英语论文网整理提供,英语论文网免费提供各类英语论文范文,包括:英语教学论文|英语本科论文|英语毕业论文|英语论文 |论文下载服务等喜欢我们就将我们分享给10位以上的好友.