Results 31 to 40 of about 1,239,655 (312)

Bounded Cosine Functions Close to Continuous Scalar Bounded Cosine Functions [PDF]

open access: yesIntegral Equations and Operator Theory, 2016
Let $(C(t))\_{t \in R}$ be a cosine function in a unital Banach algebra. We show that if $sup\_{t\in R}\Vert C(t)-cos(t)\Vert \textless{} 2$ for some continuous scalar bounded cosine function $(c(t))\_{t\in \R},$ then the closed subalgebra generated by $(C(t))\_{t\in R}$ is isomorphic to $\C^k$ for some positive integer $k.$ If, further, $sup\_{t\in \R}
openaire   +2 more sources

Power bounded and power bounded below composition operators on Dirichlet Type spaces

open access: yesAIMS Mathematics, 2021
Motivated by [11,12], under some conditions on weighted function K, we investigated power bounded and power bounded below composition operators on Dirichlet Type spaces $ {\mathcal{D}_{K}} $.
Liu Yang, Ruishen Qian
doaj   +1 more source

Boundary functions for bounded harmonic functions [PDF]

open access: yesTransactions of the American Mathematical Society, 1969
Let D be the open unit disk in the complex plane and let C be its boundary, the unit circle. If 4 E C, then by an arc at t we mean a simple arc y with one endpoint at 4 such that y { } ( D. In this paper we use the term boundazy function in the following sense.
openaire   +1 more source

Characteristic functions on the boundary of a planar domain need not be traces of least gradient functions [PDF]

open access: yes, 2017
Given a smooth bounded planar domain, we construct a compact set on the boundary s.t. its characteristic function is not the trace of a least gradient function.
Santos, Mickael Dos
core   +3 more sources

Boundedness and continuity of superposition operator on Er(p) and Fr(p) [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2002
Let X ∈ {Er(p)V , Fr(p)}, in this research, necessary and sufficient conditions are given for superposition operator to act from X into the space l1. Moreover, necessary and sufficient conditions are obtained for superposition operator acting from X into
Assa-aree Sama-ae
doaj  

lp,q-bounded sequences in function spaces

open access: yesJournal of Function Spaces and Applications, 2003
A sequence of measurable functions {fn} is called lp,q-bounded sequence ...
S. Ya. Novikov
doaj   +1 more source

The Sharp Bounds of the Third-Order Hankel Determinant for Certain Analytic Functions Associated with an Eight-Shaped Domain

open access: yesFractal and Fractional, 2022
The main focus of this research is to solve certain coefficient-related problems for analytic functions that are subordinated to a unique trigonometric function.
Lei Shi   +4 more
doaj   +1 more source

Bounds for bounded motion around a perturbed fixed point [PDF]

open access: yes, 1988
We consider a dissipative map of the plane with a bounded perturbation term. This perturbation represents e.g. an extra time dependent term, a coupling to another system or noise. The unperturbed map has a spiral attracting fixed point.
Damme, Ruud van, Valkering, Theo P.
core   +3 more sources

Error Bounds for Fractional Integral Inequalities with Applications

open access: yesFractal and Fractional
Fractional calculus has been a concept used to obtain new variants of some well-known integral inequalities. In this study, our main goal is to establish the new fractional Hermite–Hadamard, and Simpson’s type estimates by employing a differentiable ...
Nouf Abdulrahman Alqahtani   +4 more
doaj   +1 more source

ON A COMPREHENSIVE CLASS OF ANALYTIC P-VALENT FUNCTIONS ASSOCIATED WITH SHELL-LIKE CURVE AND MODIFIED SIGMOID FUNCTION

open access: yesMalaysian Journal of Computing, 2022
In this paper, the authors introduce and study a new class of analytic p-valent functions and its connections with some famous subclasses of analytic and univalent functions associated with shell-like curve and modified sigmoid function in the open unit ...
Jamiu Olusegun Hamzat   +1 more
doaj   +1 more source

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