Algebraic Properties of Toeplitz and Small Hankel Operators on the Harmonic Bergman Space

论文作者:Hong Yan GUAN;Yu Feng LU;
作者单位:School of Mathematical Sciences,Dalian University of TechnologySchool of Mathematics and Systems Science,Shenyang Normal University
期刊名称:《Acta Mathematica Sinica(English Series)》
期刊刊期:2014年08期
依托项目:Supported by National Natural Science Foundation of China(Grant No.11271059);
分类号:O177
ISSN:1439-8516
论文摘要: In this paper,we discuss some algebraic properties of Toeplitz operators and small Hankel operators with radial and quasihomogeneous symbols on the harmonic Bergman space of the unit disk in the complex plane C.We solve the product problem of quasihomogeneous Toeplitz operator and quasihomogeneous small Hankel operator.Meanwhile,we characterize the commutativity of quasihomogeneous Toeplitz operator and quasihomogeneous small Hankel operator.
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