عملگرهای ترکیبی مشتق پذیر وزن دار از فضاهای برگمن وزن دار با وزن های پذیرفتنی به فضاهای از نوع بلاخ

Subject Areas : International Journal of Industrial Mathematics

شایسته رضایی ¹

1 - گروه ریاضی، دانشگاه آزاد اسلامی واحد الیگودرز، الیگودرز، ایران.

Received: 2019-01-27 Accepted : 2021-01-25 Published : 2021-04-01

Keywords: فضای از نوع بلاخ, فضای برگمن وزن دار, عملگر ترکیبی مشتق پذیر وزن دار, کرانداری, وزن پذیرفتنی, فشردگی,

Abstract :

فرض کنید خودنگاشتی تحلیلی روی قرص واحد  در صفحه مختلط ،  یک عدد صحیح نامنفی و  تابعی تحلیلی روی  باشد. در این صورت برای تابع تحلیلی  روی  عملگر ترکیبی مشتق پذیر وزن دار به صورت تعریف می شود که . در این مقاله، کرانداری و فشردگی  از فضاهای برگمن وزن دار با وزن های پذیرفتنی به فضاهای از نوع بلاخ را بررسی می کنیم.

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