Results 21 to 30 of about 131 (122)

Weighted holomorphic Besov spaces on the polydisk

Journal of Function Spaces, Volume 9, Issue 1, Page 1-16, 2011., 2011
This work is an introduction of weighted Besov spaces of holomorphic functions on the polydisk. Let Un be the unit polydisk in Cn and S be the space of functions of regular variation. Let 1 ≤ p < ∞, ω = (ω1, …, ωn), ωj ∈ S(1 ≤ j ≤ n) and f ∈ H(Un). The function f is said to be an element of the holomorphic Besov space Bp(ω) if ‖f‖Bp(ω)p=∫Un |Df(z)|p∏j ...
Anahit V. Harutyunyan, Wolfgang Lusky, Jurgen Appell   +2 more
wiley   +1 more source

Generalization of I.Vekua′s integral representations of holomorphic functions and their application to the Riemann–Hilbert–Poincaré problem

Journal of Function Spaces, Volume 9, Issue 3, Page 217-244, 2011., 2011
I. Vekua’s integral representations of holomorphic functions, whose m‐th derivative (m ≥ 0) is Hӧlder‐continuous in a closed domain bounded by the Lyapunov curve, are generalized for analytic functions whose m‐th derivative is representable by a Cauchy type integral whose density is from variable exponent Lebesgue space Lp(⋅)(Γ; ω) with power weight ...
Vakhtang Kokilashvili, Vakhtang Paatashvili, Lars-Erik Persson   +2 more
wiley   +1 more source

Generalized composition operators from Bloch type spaces to QK type spaces

Journal of Function Spaces, Volume 8, Issue 1, Page 55-66, 2010., 2010
This paper characterizes the boundedness and compactness of the generalized composition operator (Cφgf)(z)=∫0zf′(φ(ξ))g(ξ)dξ from Bloch type spaces to QK type spaces.
Fang Zhang, Yongmin Liu, Miroslav Engliš   +2 more
wiley   +1 more source

A general method to study the convergence of nonlinear operators in Orlicz spaces

Advanced Nonlinear Studies, 2022
We continue the work started in a previous article and introduce a general setting in which we define nets of nonlinear operators whose domains are some set of functions defined in a locally compact topological group. We analyze the behavior of such nets
Vinti Gianluca, Zampogni Luca
doaj   +1 more source

Remark on the boundedness of the Cauchy singular integral operator on variable Lebesgue spaces with radial oscillating weights

Journal of Function Spaces, Volume 7, Issue 3, Page 301-311, 2009., 2009
Recently V. Kokilashvili, N. Samko, and S. Samko have proved a sufficient condition for the boundedness of the Cauchy singular integral operator on variable Lebesgue spaces with radial oscillating weights over Carleson curves. This condition is formulated in terms of Matuszewska‐Orlicz indices of weights. We prove a partial converse of their result.
Alexei Yu. Karlovich, Lech Maligranda
wiley   +1 more source

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

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, Min Zhu, Hans G. Feichtinger   +2 more
wiley   +1 more source

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, Jouni Rättyä, Miroslav Engliš   +2 more
wiley   +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)∈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

Korovkin type approximation on an infinite interval via generalized matrix summability method using ideal

, 2020
Following the notion of AI -summability method for real sequences [24] we establish a Korovkin type approximation theorem for positive linear operators on UC∗[0, ∞), the Banach space of all real valued uniform continuous functions on [0, ∞) with the ...
GHOSH, Rima, DUTTA, Sudipta
core   +1 more source