Results 11 to 20 of about 25,259 (306)

Norm Comparison Estimates for the Composite Operator [PDF]

open access: yesJournal of Function Spaces, 2014
This paper obtains the Lipschitz and BMO norm estimates for the composite operator š•„s∘P applied to differential forms. Here, š•„s is the Hardy-Littlewood maximal operator, and P is the potential operator.
Xuexin Li, Yong Wang, Yuming Xing
doaj   +2 more sources

Norm Comparison Inequalities for the Composite Operator

open access: yesJournal of Inequalities and Applications, 2009
We establish norm comparison inequalities with the Lipschitz norm and the BMO norm for the composition of the homotopy operator and the projection operator applied to differential forms satisfying the A-harmonic equation.
Ding Shusen, Xing Yuming
doaj   +2 more sources

The norm of a truncated Toeplitz operator [PDF]

open access: yes, 2010
We prove several lower bounds for the norm of a truncated Toeplitz operator and obtain a curious relationship between the $H^2$ and $H^{\infty}$ norms of functions in model spaces.
Garcia, Stephan Ramon, Ross, William T.
openaire   +4 more sources

Orlicz norm inequalities for the composite operator and applications

open access: yesJournal of Inequalities and Applications, 2011
In this article, we first prove Orlicz norm inequalities for the composition of the homotopy operator and the projection operator acting on solutions of the nonhomogeneous A-harmonic equation.
Ding Shusen, Bi Hui
doaj   +2 more sources

On the Euclidean Operator Radius and Norm

open access: yesIranian Journal of Science, 2023
In this paper, we show several bounds for the numerical radius of a Hilbert space operator in terms of the Euclidean operator norm. The obtained forms will enable us to find interesting refinements of celebrated results in the literature. Then, the $f$-operator radius, recently defined as a generalization of the Euclidean operator radius, will be ...
Sababheh, Mohammad   +2 more
openaire   +3 more sources

Some properties of pre-quasi norm on Orlicz sequence space

open access: yesJournal of Inequalities and Applications, 2020
In this article, we introduce the concept of pre-quasi norm on E (Orlicz sequence space), which is more general than the usual norm, and give the conditions on E equipped with the pre-quasi norm to be Banach space.
Awad A. Bakery, Afaf R. Abou Elmatty
doaj   +1 more source

ON THE NORM ATTAINING OPERATORS [PDF]

open access: yesKorean Journal of Mathematics, 2012
Summary: In this paper, we show the norm attaining paranormal operators have a nontrivial invariant subspace. Also, we show the norm attaining quadratically hyponormal weighted shift is subnormal.
openaire   +1 more source

A note on Hardy-Littlewood maximal operators

open access: yesJournal of Inequalities and Applications, 2016
In this paper, we will prove that, for 1 < p < āˆž $1 ...
Mingquan Wei   +3 more
doaj   +1 more source

Equalities and Inequalities for Norms of Block Imaginary Circulant Operator Matrices

open access: yesAbstract and Applied Analysis, 2015
Circulant, block circulant-type matrices and operator norms have become effective tools in solving networked systems. In this paper, the block imaginary circulant operator matrices are discussed.
Xiaoyu Jiang, Kicheon Hong
doaj   +1 more source

On the dynamics of sup-norm non-expansive maps [PDF]

open access: yes, 2005
We present several results for the periods of periodic points of sup-norm non-expansive maps. In particular, we show that the period of each periodic point of a sup-norm non-expansive map $f\colon M\to M$, where $M\subset \mathbb{R}^n$, is at most ...
Lemmens, Bas   +3 more
core   +1 more source

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