【摘要】 Axler猜想当0<p<1时ap为自共轭空间,随后已证明此猜想成立,并证明了单位圆盘D及有界对称域Cn下加权空间也为自共轭空间ap,q,α也为自共轭空间。该文考虑并证明把单位圆盘推广到有界对称域Cn时,拟正规加权空间aΨp,q,α的自共轭性质。并通过证明单位圆盘下成立的几个引理,在推广到有界对称域Cn情形时仍然成立的方法,证明了命题的成立。更多还原

【Abstract】 In 1985,Axler conjecture ap(0<p<1) is self-conjugate.Then Pro.Xiao proved not only this conjecture being true but also ap,q,α being self-conjugate.The third part of this paper proved space ap,q,αψ is also self-conjugate on Cn,and then prove it in the same way as to prove it on the unit disk.更多还原