Results 51 to 60 of about 414,757 (180)
Norms of Hermite interpolation operators
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Y. Igano+3 more
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We introduce an integral-type operator, denoted by Pφg, on the space of holomorphic functions on the unit ball B⊂ℂn, which is an extension of the product of composition and integral operators on the unit disk.
Stevo Stević
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Banach-valued multilinear singular integrals
We develop a general framework for the analysis of operator-valued multilinear multipliers acting on Banach-valued functions. Our main result is a Coifman-Meyer type theorem for operator-valued multilinear multipliers acting on suitable tuples of UMD ...
Di Plinio, Francesco, Ou, Yumeng
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An embedding norm and the Lindqvist trigonometric functions
We shall calculate the operator norm $|T|_p$ of the Hardy operator $Tf = int_0^x f $, where $1le ple infty$. This operator is related to the Sobolev embedding operator from $W^{1,p}(0,1)/mathbb{C}$ into $W^p(0,1)/mathbb{C}$.
Christer Bennewitz, Yoshimi Saito
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Can you compute the operator norm?
In this note we address various algorithmic problems that arise in the computation of the operator norm in unitary representations of a group on Hilbert space.
Fritz, Tobias+2 more
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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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Although the systematic emergence of the fuzzy functional analysis theory has started in the last few years, we are starting to construct a new theory of fuzzy operator ideals inspired by the classical (crisp) operator ideals theory.
Laith K. Shaakir+2 more
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Poincaré Inequalities for Composition Operators with Lφ-Norm
We establish the Poincaré-type inequalities for the composition of the homotopy operator, exterior derivative operator, and the projection operator with Lφ-norm applied to the nonhomogeneous A-harmonic equation in Lφ(Ω)-averaging domains.
Ru Fang
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New versions of refinements and reverses of Young-type inequalities with the Kantorovich constant
Recently, some Young-type inequalities have been promoted. The purpose of this article is to give further refinements and reverses to them with Kantorovich constants.
Rashid Mohammad H. M., Bani-Ahmad Feras
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Orthonormal Systems in Linear Spans
We show that any $N$-dimensional linear subspace of $L^2(\mathbb{T})$ admits an orthonormal system such that the $L^2$ norm of the square variation operator $V^2$ is as small as possible. When applied to the span of the trigonometric system, we obtain an
Chevet, Garsia, Marcus, Milman
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