Results 31 to 40 of about 1,122 (122)
Disjoint hypercyclicity equals disjoint supercyclicity for families of Taylor-type operators
Open 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
Hardy type inequality in variable Lebesgue spaces [PDF]
, 2008 We prove that in variable exponent spaces $L^{p(\cdot)}(\Omega)$, where $p(\cdot)$ satisfies the log-condition and $\Omega$ is a bounded domain in $\mathbf R^n$ with the property that $\mathbf R^n \backslash \bar{\Omega}$ has the cone property, the ...
Rafeiro, Humberto, Samko, Stefan
core +3 more sources
Extended Cesáro operators between generalized Besov spaces and Bloch type spaces in the unit ball
Journal 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
, 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
Remarks on rich subspaces of Banach spaces [PDF]
, 2003 We investigate rich subspaces of $L_1$ and deduce an interpolation property of Sidon sets. We also present examples of rich separable subspaces of nonseparable Banach spaces and we study the Daugavet property of tensor products.Comment: 12 ...
Kadets, Vladimir +2 more
core +3 more sources
The essential norm of a composition operator mapping into Qk type spaces
Journal 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
, 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
Journal 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)∈Tt| ∂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(⋅)
Journal 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
Journal 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