Results 61 to 70 of about 124 (115)

A new family of multivalent functions defined by certain forms of the quantum integral operator

open access: yesDemonstratio Mathematica
In this work, using the concepts of qq-calculus, we first define the qq-Jung-Kim-Srivastava and qq-Bernardi integral operators for multivalent functions. Then, we use these operators to establish the generalized integral operator ℬq,p−m−λf(z){{\mathcal{ {
Khan Ajmal   +5 more
doaj   +1 more source

Multiplication operators on the space of functions of bounded variation

open access: yesDemonstratio Mathematica, 2017
In this paper,we study the properties of the multiplication operator acting on the bounded variation space BV[0, 1]. In particular,we show the existence of non-null compact multiplication operators on BV[0, 1] and non-invertible Fredholm multiplication ...
Astudillo-Villalba Franklin R.   +1 more
doaj   +1 more source

Generalized Hilbert operator on analytic function spaces [PDF]

open access: yesArab Journal of Mathematical Sciences
PurposeThe main objective of this work is to study the boundedness property of a generalized Hilbert operator Hβ for β ≥ 0 defined by, if f(z)=∑n=0∞anzn be any analytic function on the unit disk D then Hβf(z)=∑n=0∞∑k=0∞Γ(n+β+1)Γ(n+k+1)Γ(n+1)Γ(n+k+β+2 ...
Simi Bhuyan, Sunanda Naik
doaj   +1 more source

Lattice properties of operators defined by random measures

open access: yes, 2004
We prove that the lattice properties of operators defined by random measures hold under general conditions on the measure space. This solves a problem found in a paper of A.R. Sourour on these operators and generalizes his results.
De Pagter, B, Rambane, DT, Grobler, JJ
core  

Some results about operators on L1

open access: yes, 2016
Let (Ω;∑; µ) be a probability space. We give a few results about operators on L1(µ). Among these, we show that if T is a bounded linear operator on L1(µ) which acts as a Hilbert-Schmidt operator on L2(µ), then T : L11(µ)  L1(µ) is representable ...
Riel, Zachariah C.
core  

DUALITY FOR SOME LARGE SPACES OF ANALYTIC FUNCTIONS [PDF]

open access: yes, 2017
We characterize the duals and biduals of the $L^p$-analogues $\mathcal{N}_\alpha^p$ of the standard Nevanlinna classes $\mathcal{N}_\alpha$, $\alpha\ge-1$ and $1\le p\lt \infty$.
Jarchow, H.   +3 more
core  

Weighted differentiation composition operators from the logarithmic Bloch space to the weighted-type space

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
The boundedness of the weighted differentiation composition opera- tor from the logarithmic Bloch space to the weighted-type space is characterized in terms of the sequence (zn)n∈N0.
Li Songxiao, Stević Stevo
doaj   +1 more source

Hardy-type inequalities for a class of iterated operators and their application to Morrey-type spaces

open access: yesOpen Mathematics
In this study, we discuss new Hardy-type inequalities for operators involving iteration and provide explicit characterizations of these inequalities. As an application of our results, we consider the problem of the boundedness of the multidimensional ...
Kalybay Aigerim
doaj   +1 more source

Generalized 2-local isometries of spaces of continuously differentiable functions

open access: yes, 2018
Let C(n)(I) denote the Banach space of n-times continuously differentiable functions on I = [0; 1], equipped with the norm ∥Ƥ∥n = max{ |ƒ (0) | ƒ ’ (0) |, …,;ƒ(n-1)(0) | , ∥ ƒ (n) ∥∞ } (ƒ ∈ C (n) (ΐ) ) where ∥ - ∥∞ is the supremum norm. We call a map T :
Hosseini, Maliheh
core  

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