Some Properties Of A Class Of Analytic Function Spaces And Its Pointwise Multipliers

In this thesis,we first discuss some properties of the analytic function spaces Q_s~p(D)and Q_s~p(T)on the one hand,including the completeness of these spaces,some basic prop-erties which is associated to the M?bius transformation,the relationship between them and the variations of these spaces according to the indexes p and s.On the other hand,we study the pointwise multipliers of these spaces,showing the boundedness of the multiplication operator which is naturally induced by the multiplier and giving a char-acterization of the spectrum of this multiplication operator.