Results 31 to 40 of about 1,125 (122)

Disjoint hypercyclicity equals disjoint supercyclicity for families of Taylor-type operators

open access: yesOpen Mathematics, 2018
We characterize disjointness of supercyclic operators which map a holomorphic function to a partial sum of the Taylor expansion. In particular, we show that disjoint hypercyclicity equals disjoint supercyclicity for families of Taylor-type operators ...
Ma Yingbin, Wang Cui
doaj   +1 more source

Extended Cesáro operators between generalized Besov spaces and Bloch type spaces in the unit ball

open access: yesJournal of Function Spaces, Volume 7, Issue 3, Page 209-223, 2009., 2009
Let 𝑔 be a holomorphic of the unit ball B in the n‐dimensional complex space, and denote by Tg the extended Cesáro operator with symbol g. Let 0 < p < +∞, −n − 1 < q < +∞, q > −1 and α > 0, starting with a brief introduction to well known results about Cesáro operator, we investigate the boundedness and compactness of Tg between generalized Besov space
Ze-Hua Zhou   +2 more
wiley   +1 more source

Essential norm of integral operators on Morrey type spaces

open access: yes, 2016
In this paper, we investigate the essential norm of two classes of integral operators on Morrey type spaces H2 K . As an application, we characterize the compactness of these operators. Mathematics subject classification (2010): 30H25, 47B38.
Yecheng Shi, Songxiao Li
semanticscholar   +1 more source

The essential norm of a composition operator mapping into Qk type spaces

open access: yesJournal of Function Spaces, Volume 6, Issue 3, Page 241-258, 2008., 2008
An asymptotic formula for the essential norm of the composition operator Cφ(f) : = f∘φ, induced by an analytic self‐map φ of the unit disc, mapping from the α‐Bloch space ℬα or the Dirichlet type space Dαp into Qk(p, q) is established in terms of an integral condition.
Marko Kotilainen   +2 more
wiley   +1 more source

Essential norm and compactness of the product of differentiation and composition operators on Bloch type spaces

open access: yes, 2016
In this paper, we give a complete characterization of the compactness of the product of differentiation and composition operators on Bloch type spaces and little Bloch type spaces.
Xiangling Zhu
semanticscholar   +1 more source

Bloch‐type space of temperature functions on a finite cylinder

open access: yesJournal of Function Spaces, Volume 5, Issue 3, Page 287-297, 2007., 2007
We define the Bloch‐type space BT as the linear space of temperature functions on the cylinder ST=S1×(0,T) such that sup⁡(x,t)∈T⁡t| ∂u∂t(x,t) |<∞, ΩT = [0,2] × (0, T); we prove that (b1(ST))*=BT, where b1(ST) is the Bergman space of temperature functions on ST belonging to L1(ΩT, dxdt).
Marcos López-García, Hans Triebel
wiley   +1 more source

The maximal operator in weighted variable spaces Lp(⋅)

open access: yesJournal of Function Spaces, Volume 5, Issue 3, Page 299-317, 2007., 2007
We study the boundedness of the maximal operator in the weighted spaces Lp(⋅)(ρ) over a bounded open set Ω in the Euclidean space ℝn or a Carleson curve Γ in a complex plane. The weight function may belong to a certain version of a general Muckenhoupt‐type condition, which is narrower than the expected Muckenhoupt condition for variable exponent, but ...
Vakhtang Kokilashvili   +3 more
wiley   +1 more source

New proof of Nagnibida′s theorem

open access: yesJournal of Function Spaces, Volume 4, Issue 1, Page 85-90, 2006., 2006
Using the Duhamel product for holomorphic functions we give a new proof of Nagnibida’s theorem on unicellularity of integration operator Ja,(Jaf)(z)=?azf(t)dt, acting in the space Hol(O).
Mubariz T. Karaev, Nicolae Popa
wiley   +1 more source

Generalized Stević-Sharma operators from the minimal Möbius invariant space into Bloch-type spaces

open access: yesDemonstratio Mathematica, 2023
The aim of this study is to investigate the boundedness, essential norm, and compactness of generalized Stević-Sharma operator from the minimal Möbius invariant space into Bloch-type space.
Guo Zhitao
doaj   +1 more source

Chaotic operators on hypergroups

open access: yes, 2018
In this paper, we initiate a study of chaos, in the sense of Devaney, and topological transitivity on the Lp space of hypergroups, and give some sufficient and necessary conditions for weighted translation operators on hypergroups to be chaotic and ...
Chung-chuan Chen, S. Tabatabaie
semanticscholar   +1 more source

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