The purpose of this paper is to study the composition operators on weightedBergman spaces of bounded symmetric domains.The sufficient and necessary conditions for a composition operator C"to be bounded add corn p...The purpose of this paper is to study the composition operators on weightedBergman spaces of bounded symmetric domains.The sufficient and necessary conditions for a composition operator C"to be bounded add corn pact respectively are given in term of the concept of Carleson measure.Meanwhile,the integral characteristic of n such that Cn is a Schatten p-class operator is obtained.展开更多
In this paper,we construct a function u in L2,1（Bn,dA）,which is unbounded on any neighborhood of each boundary point of B n,such that Toeplitz operator Tu is compact on Dirichlet space D（Bn,dA）.Furthermore,Schatte...In this paper,we construct a function u in L2,1（Bn,dA）,which is unbounded on any neighborhood of each boundary point of B n,such that Toeplitz operator Tu is compact on Dirichlet space D（Bn,dA）.Furthermore,Schatten p-class（0〈p〈∞） Toeplitz operators on Dirichlet space D（Bn,dA） with unbounded symbols are also obtained.展开更多
文摘The purpose of this paper is to study the composition operators on weightedBergman spaces of bounded symmetric domains.The sufficient and necessary conditions for a composition operator C"to be bounded add corn pact respectively are given in term of the concept of Carleson measure.Meanwhile,the integral characteristic of n such that Cn is a Schatten p-class operator is obtained.
文摘In this paper,we construct a function u in L2,1（Bn,dA）,which is unbounded on any neighborhood of each boundary point of B n,such that Toeplitz operator Tu is compact on Dirichlet space D（Bn,dA）.Furthermore,Schatten p-class（0〈p〈∞） Toeplitz operators on Dirichlet space D（Bn,dA） with unbounded symbols are also obtained.
