Results 11 to 20 of about 25,259 (306)
Norm Comparison Estimates for the Composite Operator [PDF]
This paper obtains the Lipschitz and BMO norm estimates for the composite operator šsāP applied to differential forms. Here, šs is the Hardy-Littlewood maximal operator, and P is the potential operator.
Xuexin Li, Yong Wang, Yuming Xing
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Norm Comparison Inequalities for the Composite Operator
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
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The norm of a truncated Toeplitz operator [PDF]
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.
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Orlicz norm inequalities for the composite operator and applications
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
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On the Euclidean Operator Radius and Norm
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
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Some properties of pre-quasi norm on Orlicz sequence space
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
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ON THE NORM ATTAINING OPERATORS [PDF]
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.
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A note on Hardy-Littlewood maximal operators
In this paper, we will prove that, for 1 < p < ā $1 ...
Mingquan Wei +3 more
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Equalities and Inequalities for Norms of Block Imaginary Circulant Operator Matrices
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
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On the dynamics of sup-norm non-expansive maps [PDF]
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
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