SPECTRA OF COMPOSITION GROUPS ON THE WEIGHTED DIRICHLET SPACE OF THE UPPER HALF-PLANE  

作　　者：M.O.AGWANG J.O.BONYO 

机构地区：[1]Department of Pure and Applied Mathematics,Maseno University,P.O.BOX 333-40105,Maseno,Kenya

出　　处：《Acta Mathematica Scientia》2020年第6期1739-1752,共14页数学物理学报（B辑英文版）

摘　　要：We prove that the group of weighted composition operators induced by continuous automorphism groups of the upper half plane U is strongly continuous on the weighted Dirichlet space of U,Dα(U).Further,we investigate when they are isometries on Dα(U).In each case,we determine the semigroup properties while in the case that the induced composition group is an isometry,we apply similarity theory to determine the spectral properties of the group.

关 键 词：one-parameter semigroup composition operator semigroups strong continuity infinitesimal generator SPECTRA 

分 类 号：O177[理学—数学]