Products of Radial Derivative and Multiplication Operator between Mixed Norm Spaces and Zygmund–type Spaces on the Unit Ball
نویسندگان
چکیده
In this paper, we obtain some characterizations of the boundedness and compactness of the products of the radial derivative and multiplication operator RMu between mixed norm spaces H(p, q, φ) and Zygmund-type spaces on the unit ball. Mathematics subject classification (2010): 47B38, 47G10, 32A10, 32A18.
منابع مشابه
Zygmund-Type Spaces on the Unit Ball
Let H B denote the space of all holomorphic functions on the unit ball B ⊂ C. This paper investigates the following integral-type operator with symbol g ∈ H B , Tgf z ∫1 0 f tz Rg tz dt/t, f ∈ H B , z ∈ B, whereRg z ∑n j 1 zj∂g/∂zj z is the radial derivative of g. We characterize the boundedness and compactness of the integral-type operators Tg from general function spaces F p, q, s to Zygmund-...
متن کاملEssential norm estimates of generalized weighted composition operators into weighted type spaces
Weighted composition operators appear in the study of dynamical systems and also in characterizing isometries of some classes of Banach spaces. One of the most important generalizations of weighted composition operators, are generalized weighted composition operators which in special cases of their inducing functions give different types of well-known operators like: weighted composition operat...
متن کاملOn an Integral-type Operator from Mixed Norm Spaces to Zygmund-type Spaces (communicated by Professor
This paper studies the boundedness and compactness of an integraltype operator from mixed norm spaces to Zygmund-type spaces and little Zygmund-type spaces.
متن کاملTwo Equivalent Presentations for the Norm of Weighted Spaces of Holomorphic Functions on the Upper Half-plane
Introduction In this paper, we intend to show that without any certain growth condition on the weight function, we always able to present a weighted sup-norm on the upper half plane in terms of weighted sup-norm on the unit disc and supremum of holomorphic functions on the certain lines in the upper half plane. Material and methods We use a certain transform between the unit dick and the uppe...
متن کاملExtended Cesáro Operators on Zygmund Spaces in the Unit Ball
Let g be a holomorphic function of the unit ball B in the ndimensional space, and denote by Tg and Ig the induced extended Cesáro operator and another integral operator. The boundedness and compactness of Tg and Ig acting on the Zygmund spaces in the unit ball are discussed and necessary and sufficient conditions are given in this paper.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2014