Results 21 to 30 of about 124 (115)
On essential norms of singular integral operators with constant coefficients and of the backward shift [PDF]
, 2022 Received by the editors November 5, 2021. 2020 Mathematics Subject Classification. Primary 45E05, 46E30, 47B38. Key words and phrases. Rearrangement-invariant Banach function space, abstract Hardy singular integral operator, backward shift operator, norm,
Karlovych, Oleksiy +1 more
core +1 more source
Korovkin type approximation for double sequences via statistical A-summation process on modular spaces [PDF]
, 2018 n this work, we introduce the Korovkin type approximation theorems on modular spaces via statistical A-summation process for double sequences of positive linear operators and we construct an example satisfying our new approximation theorem but does not ...
Burçak Kolay +3 more
core +1 more source
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 +2 more
wiley +1 more source
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 +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
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 +2 more
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
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
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
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