One-parameter Semigroups Of Composition Operators On The Besov Spaces

In this paper,we characterize the strongly continuity of one-parameter semigroups composition operators on Besov space.We divide this article into five chapters:In the first chapter,we briefly introduce the research background and current situation of the composition semigroups,and give the main conclusion of this thesis.In the second chapter,we give some basic knowledge about one-parameter continuous semigroup,generator and Besov spaces.In the third chapter,we introduce the strongly continuity and not uniform continuity of composition semigroups on the minimal M(?)bius invariant space,sufficient condition are given for the composition semigroup to be bounded on B1 by infinitesimal generators.In the fourth chapter,we introduce the strongly continuity and not uniform continuity of composition semigroups on Besov space,also find the one-parameter semigroup that not belong to Bp(1<p<2)through geometric method for the first time.The last chapter,several questions that have not been solved in this paper are put forward.