Bloch, Besov and Dirichlet Spaces of Slice Hyperholomorphic Functions
نویسندگان
چکیده
منابع مشابه
On characterizations of hyperbolic harmonic Bloch and Besov spaces
We define hyperbolic harmonic $omega$-$alpha$-Bloch space $mathcal{B}_omega^alpha$ in the unit ball $mathbb{B}$ of ${mathbb R}^n$ and characterize it in terms of $$frac{omegabig((1-|x|^2)^{beta}(1-|y|^2)^{alpha-beta}big)|f(x)-f(y)|}{[x,y]^gamma|x-y|^{1-gamma}},$$ where $0leq gammaleq 1$. Similar results are extended to little $omega$-$alpha$-Bloch and Besov spaces. These obtained...
متن کاملThe Runge Theorem for Slice Hyperholomorphic Functions
In this paper we introduce and study rational slice monogenic functions. After proving a decomposition theorem for such functions, we are able to prove the Runge approximation theorem for slice monogenic functions. We then show how a similar argument can be used to obtain an analogue of the Runge approximation theorem in the slice regular setting.
متن کاملRadial Variation of Functions in Besov Spaces
Abstract This paper considers the radial variation function F (r, t) of an analytic function f(z) on the disc D. We examine F (r, t) when f belongs to a Besov space Apq and look for ways in which F imitates the behaviour of f . Regarded as a function of position (r, t) in D, we show that F obeys a certain integral growth condition which is the real variable analogue of that satisfied by f . We ...
متن کاملExtended Cesáro Operators between Generalized Besov Spaces and Bloch Type Spaces in the Unit Ball
Let g be a holomorphic map of B, where B is the unit ball of C. Let 0 < p < +∞,−n − 1 < q < +∞, q > −1 and α > 0. This paper gives some necessary and sufficient conditions for the Extended Cesáro Operators induced by g to be bounded or compact between generalized Besov space B(p, q) and αBloch space B.
متن کاملEssential 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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Complex Analysis and Operator Theory
سال: 2014
ISSN: 1661-8254,1661-8262
DOI: 10.1007/s11785-014-0380-4