Results 51 to 60 of about 131 (122)

Two-weight characterizations for variable-limit Hardy operator on time scales

Open Mathematics
We study the boundedness of the variable-limit Hardy operator(Hbf)(x)=∫0b(σ(x))f(t)Δt,x∈[0,∞)T, $$\left({H}_{b}f\right)\left(x\right)=\underset{0}{\overset{b\left(\sigma \left(x\right)\right)}{\int }}f\left(t\right) {\Delta}t,\qquad x\in {\left[0,\infty \
Saker Samir H., Mahmoud Ramy R.
doaj   +1 more source

Summability Methods in Weighted Approximation to Derivatives of Functions [PDF]

, 2015
In this paper, we use summability methods on the approximation to derivatives of functions by a family of linear operators acting on weighted spaces. This point of view enables us to overcome the lack of ordinary convergence in the approximation.
Duman, Oktay, Küçük, Nisa
core   +1 more source

Generalized Hausdorff operator on Bergmann spaces

Concrete Operators, 2023
In this article, we considered the generalized Hausdorff operator ℋμ,ϕ,a{{\mathcal{ {\mathcal H} }}}_{\mu ,\phi ,a} on Bergmann space and determined the conditions on ϕ\phi and aa so that the operator is bounded.
Perumal Sasikala, Kamalakkannan Kalaivani   +1 more
doaj   +1 more source

Weighted composition followed by differentiation between weighted Banach spaces of holomorphic functions [PDF]

, 2011
2010 Mathematics Subject Classification: 47B33, 47B38.Let f be an analytic self-map of the open unit disk D in the complex plane and y be an analytic map on D.
Wolf, Elke
core  

The Faber polynomial expansion method and its application to the general coefficient problem for some subclasses of bi-univalent functions associated with a certain q-integral operator

, 2018
In our present investigation, we first introduce several new subclasses of analytic and bi-univalent functions by using a certain q-integral operator in the open unit disk U = {z : z ∈ Cand |z| < 1}.
KHAN, Nazar, AHMAD, Qazi Zahoor, KHAN, Shahid, SRIVASTAVA, Hari Mohan   +3 more
core   +1 more source

WEIGHTED BESOV AND TRIEBEL–LIZORKIN SPACES ASSOCIATED WITH OPERATORS AND APPLICATIONS

Forum of Mathematics, Sigma, 2020
Let $X$ be a space of homogeneous type and $L$ be a nonnegative self-adjoint operator on $L^{2}(X)$ satisfying Gaussian upper bounds on its heat kernels.
HUY-QUI BUI, THE ANH BUI, XUAN THINH DUONG   +2 more
doaj   +1 more source

Weighted composition operators on bicomplex Lorentz spaces with their characterization and properties

Demonstratio Mathematica
This article presents a characterization of non-singular measurable transformation, denoted as TT, mapping from Ω\Omega to itself, along with bicomplex-valued BC{\mathbb{BC}}-measurable function uu defined on Ω\Omega , which induces a weighted ...
Eryılmaz İlker
doaj   +1 more source

Operators commuting with complex symmetric weighted composition operators on H 2

Concrete Operators
In this article, we initially study when an anti-linear Toeplitz operator is in the commutant of a composition operator. Primarily, we investigate weighted composition operators Wg,ψ{W}_{g,\psi } commuting with complex symmetric weighted composition ...
Bhuia Sudip Ranjan
doaj   +1 more source

Some Hardy's inequalities on conformable fractional calculus

Demonstratio Mathematica
In this article, we will demonstrate some Hardy’s inequalities by utilizing Hölder inequality, integration by parts, and chain rule of the conformable fractional calculus.
AlNemer Ghada, Saker Samir H., Ashry Gehad M., Zakarya Mohammed, Rezk Haytham M., Kenawy Mohammed R.   +5 more
doaj   +1 more source

Prado-Bassas, Holomorphic operators generating dense images

, 2020
. The existence of infinite dimensional closed linear spaces of holomorphic functions f on a domain G in the complex plane such that T f has dense images on certain subsets of G, where T is a continuous linear operator, is analyzed.
J A Prado-Bassas, M C Calderón-Moreno, L Bernal-González   +2 more
core