Riemann-Stieltjes operators between Bergman-type spaces and α-Bloch spaces

نویسنده

  • Songxiao Li
چکیده

We study the following integral operators: J g f (z)= z 0 f (ξ)g (ξ)dξ; I g f (z)= z 0 f (ξ)g(ξ)dξ, where g is an analytic function on the open unit disk in the complex plane. The bounded-ness and compactness of J g , I g between the Bergman-type spaces and the α-Bloch spaces are investigated.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Weighted composition operators on weighted Bergman spaces and weighted Bloch spaces

In this paper, we characterize the bonudedness and compactness of weighted composition operators from weighted Bergman spaces to weighted Bloch spaces. Also, we investigate weighted composition operators on weighted Bergman spaces and extend the obtained results in the unit ball of $mathbb{C}^n$.

متن کامل

Riemann-stieltjes Integral Operators between Weighted Bergman Spaces

This note completely describes the bounded or compact Riemann-Stieltjes integral operators T g acting between the weighted Bergman space pairs (A p α , A q β) in terms of particular regularities of the holomorphic symbols g on the open unit ball of C n .

متن کامل

RIEMANN-STIELTJES OPERATORS FROM F(p,q,s) SPACES TO α-BLOCH SPACES ON THE UNIT BALL

Let H(B) denote the space of all holomorphic functions on the unit ball B Cn. We investigate the following integral operators: Tg( f )(z)= ∫ 1 0 f (tz) g(tz)(dt/t), Lg( f )(z)= ∫ 1 0 f (tz)g(tz)(dt/t), f H(B), z B, where g H(B), and h(z)= ∑n j=1 zj(∂h/∂zj)(z) is the radial derivative of h. The operator Tg can be considered as an extension of the Cesàro operator on the unit disk. The boundedness...

متن کامل

Volterra Composition Operators between Weighted Bergman-nevanlinna and Bloch-type Spaces

Let g and φ be holomorphic maps on D such that φ(D) ⊂ D. Define Volterra composition operators Jg,φ and Ig,φ induced by g and φ as Jg,φf(z) = Z z 0 (f ◦ φ) (ζ) (g ◦ φ)′ (ζ) dζ and Ig,φf(z) = Z z 0 (f ◦ φ)′ (ζ) (g ◦ φ) (ζ) dζ for z ∈ D and f ∈ H(D), the space of holomorphic functions on D. In this paper, we characterize boundedness and compactness of these operators acting between weighted Bergm...

متن کامل

Essential norm of generalized composition operators from weighted Dirichlet or Bloch type spaces to Q_K type spaces

In this paper we obtain lower and upper estimates for the essential norms of generalized composition operators from weighted Dirichlet spaces or Bloch type spaces to $Q_K$ type spaces.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Int. J. Math. Mathematical Sciences

دوره 2006  شماره 

صفحات  -

تاریخ انتشار 2006