• شماره ركورد كنفرانس
    4303
  • عنوان مقاله

    An Integral-type operator from area nevanlinna spaces to Bloch-type spaces

  • پديدآورندگان

    Rezaei SHAYESTEH sh.rezaei@iau-aligudarz.ac.ir Aligudarz Branch, Islamic Azad university,

  • تعداد صفحه
    4
  • كليدواژه
    Nevanlinna space , Bloch , type space , integral , type operator
  • سال انتشار
    1396
  • عنوان كنفرانس
    پنجمين سمينار ملي آناليز تابعي و كاربردهاي آن
  • زبان مدرك
    انگليسي
  • چكيده فارسي
    Let $H(\mathbb{D})$ denote the class of all analytic functions on the open unit disk $\mathbb{D}$ of the complex plane $\mathbb{C}$. Let $n$ be a nonnegative integer, $\varphi$ be an analytic self-map of $\mathbb{D}$ and $g\in H(\mathbb{D})$. The boundedness and compactness of an integral-type operator $$(C_{\varphi,g}^nf)(z)=\int_0^zf^{(n)}(\varphi(\xi))g(\xi)d\xi\qquad (f\in H(\mathbb{D}),\quad z\in\mathbb{D}),$$ from the area Nevanlinna spaces $N_\alpha^p$, where $1\leqslant p \infty$, $\alpha -1$, to the Bloch-type spaces $B_\mu$ and the little Bloch-type spaces $B_{\mu,0}$, where $\mu$ is normal are characterized in this paper.
  • كشور
    ايران