In this paper,we study weighted composition operators on the Hilbert space of Dirichlet series with square summable coefficients.The Hermitianness,Fredholmness and invertibility of such operators are characterized,and...In this paper,we study weighted composition operators on the Hilbert space of Dirichlet series with square summable coefficients.The Hermitianness,Fredholmness and invertibility of such operators are characterized,and the spectra of compact and invertible weighted composition operators are also described.展开更多
In this paper,we give a survey of some recent progress in terms of verifying Carleson measures;this includes the difference between two definitions of a Carleson measure,the Bergman tree condition,the T1 condition for...In this paper,we give a survey of some recent progress in terms of verifying Carleson measures;this includes the difference between two definitions of a Carleson measure,the Bergman tree condition,the T1 condition for Besov-Sobolev spaces on a complex ball,vector-valued Carleson measures,Carleson measures in strongly pseudoconvex domains and reverse Carleson measures.展开更多
基金partially supported by NSFC(11771340,11701434,11431011,11471251,11771441)
文摘In this paper,we study weighted composition operators on the Hilbert space of Dirichlet series with square summable coefficients.The Hermitianness,Fredholmness and invertibility of such operators are characterized,and the spectra of compact and invertible weighted composition operators are also described.
基金Supported by the National Natural Science Foundation of China(11771441,11601400)。
文摘In this paper,we give a survey of some recent progress in terms of verifying Carleson measures;this includes the difference between two definitions of a Carleson measure,the Bergman tree condition,the T1 condition for Besov-Sobolev spaces on a complex ball,vector-valued Carleson measures,Carleson measures in strongly pseudoconvex domains and reverse Carleson measures.
