1 The Operator（-△）<sup>1/2</sup> In Ref.[1], we define the operator （-△）<sup>1/2</sup> on the Banach space L<sup>p</sup>（R<sup>n</sup>） as follows:（-△）<sup...1 The Operator（-△）<sup>1/2</sup> In Ref.[1], we define the operator （-△）<sup>1/2</sup> on the Banach space L<sup>p</sup>（R<sup>n</sup>） as follows:（-△）<sup>1/2</sup>sum from j=1 to n R<sub>j</sub> D<sub>j</sub>, its展开更多
In this paper,we study the complex symmetric C_(0)-semigroups of weighted composition operators W_(ψ,φ)on the weighted Hardy spaces H_(γ) of the unit disk D.It is well-known that there are only two classes of weigh...In this paper,we study the complex symmetric C_(0)-semigroups of weighted composition operators W_(ψ,φ)on the weighted Hardy spaces H_(γ) of the unit disk D.It is well-known that there are only two classes of weighted composition conjugations A_(u,v) on H_(γ)(D):either C_(1) or C_(2).We completely characterize C_(1)-symmetric(C_(2)-symmetric)C_(0)-semigroups of weighted composition operators W_(ψ,φ) on H_(γ)(D).展开更多
基金Project supported by the National Natural Science Foundation of China
文摘1 The Operator（-△）<sup>1/2</sup> In Ref.[1], we define the operator （-△）<sup>1/2</sup> on the Banach space L<sup>p</sup>（R<sup>n</sup>） as follows:（-△）<sup>1/2</sup>sum from j=1 to n R<sub>j</sub> D<sub>j</sub>, its
文摘In this paper,we study the complex symmetric C_(0)-semigroups of weighted composition operators W_(ψ,φ)on the weighted Hardy spaces H_(γ) of the unit disk D.It is well-known that there are only two classes of weighted composition conjugations A_(u,v) on H_(γ)(D):either C_(1) or C_(2).We completely characterize C_(1)-symmetric(C_(2)-symmetric)C_(0)-semigroups of weighted composition operators W_(ψ,φ) on H_(γ)(D).
