The Gleason's Problem On F(p,q,s,k) Space And The Pointwise Multiplier On Zygmund Type Space In The Unit Ball

In this dissertation,we first discuss the Gleason's problem on the F(p,q,s,k)space in the unit ball.Next we study the pointwise multiplier on the normal weight Zygmund space in the unit ball.This dissertation consists of three chapters.In the first chapter,we give a comprehensive summary about the research background and the conclusions that we obtain.In the second chapter,we first give a bidirectional estimates under three kinds of cases for a typical integral with two change points in the unit ball,that is proposition 2.3.1.Next we prove that the Gleason's problem is solvable on the F(p,q,s,k)space in the unit ball,that is theorem 2.3.2.In the third chapter,we first discuss the necessary and sufficient conditions for which the multiplier operator is bounded on Z_?(B),that is theorem 3.3.1.Next we give the necessary and sufficient conditions for which the multiplier operator is compact on Z_?(B),that is theorem 3.3.3.