طیف و طیف اساسی ترکیبات خطی عملگرهای ترکیبی روی فضای هاردی H2

محورهای موضوعی : آمار

محمود حاجی شعبانی ¹ , مهسا فاتحی ² , ملیحه فرضی ³

1 - استاد، دانشکده ریاضی، دانشگاه صنعتی شیراز، شیراز، ایران
2 - استاد، گروه ریاضی، واحد شیراز، دانشگاه آزاد اسلامی، شیراز، ایران
3 - دانشجوی دکتری، دانشکده ریاضی، دانشگاه صنعتی شیراز، شیراز، ایران

تاریخ دریافت : 1396/12/02 تاریخ پذیرش : 1397/11/07 تاریخ انتشار : 1398/02/11

کلید واژه: Hardy space, composition operator, Spectrum, essential spectrum,

چکیده مقاله :

فرض کنید ---. اگر---  یک خود نگاشت تحلیلی از --- باشد، برای هر  --- تحلیلی روی ---، عملگر ترکیبی  --- را به صورت  --- تعریف کرده و  --- را تابع ترکیب می‌نامیم. 

چکیده انگلیسی:

Let -----. For an analytic self-map --- of --- , Let --- be the composition operator with composite map --- so that ----. Let --- be a bounded analytic function on --- . The weighted composition operator --- is defined by --- . Suppose that --- is the Hardy space, consisting of all analytic functions defined on --- , whose Maclaurin cofficients are square summable. .....

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