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Let $ℒ$ be the Ornstein-Uhlenbeck operator which is self-adjoint with respect to the Gauss measure $γ$ on $ℝ^{d} .$ We prove a sharp estimate of the operator norm of the imaginary powers of $ℒ$ on $L^{p} (γ),$ $1 < p < \infty ...$

Sharp maximal functions associated with approximations of the identity in spaces of homogeneous type and applications

José María Martell (2004) Studia Mathematica

In the context of the spaces of homogeneous type, given a family of operators that look like approximations of the identity, new sharp maximal functions are considered. We prove a good-λ inequality for Muckenhoupt weights, which leads to an analog of the Fefferman-Stein estimate for the classical sharp maximal function. As a consequence, we establish weighted norm estimates for certain singular integrals, defined on irregular domains, with Hörmander conditions replaced by some estimates which do...

Sharpened Forms of an Inequality of Von Neumann.

Ky Fan (1987) Mathematische Zeitschrift

Shift invariant measures and simple spectrum

A. Kłopotowski, M. Nadkarni (2000) Colloquium Mathematicae

We consider some descriptive properties of supports of shift invariant measures on

ℂ^{ℤ}

under the assumption that the closed linear span (in

L^{2}

) of the co-ordinate functions on

ℂ^{ℤ}

is all of

L^{2}

Similarity and compact perturbations of nest algebras.

Kenneth R. Davidson (1984)

Journal für die reine und angewandte Mathematik

Similarity of operators and geometry of eigenvector bundles.

H. K. Kwon, S. Treil (2009)

Publicacions Matemàtiques

Simultaneous solutions of operator Sylvester equations

Sang-Gu Lee, Quoc-Phong Vu (2014)

Studia Mathematica

We consider simultaneous solutions of operator Sylvester equations $A_{i} X - X B_{i} = C_{i}$ (1 ≤ i ≤ k), where $(A ₁, . . ., A_{k})$ and $(B ₁, . . ., B_{k})$ are commuting k-tuples of bounded linear operators on Banach spaces and ℱ, respectively, and $(C ₁, . . ., C_{k})$ is a (compatible) k-tuple of bounded linear operators from ℱ to , and prove that if the joint Taylor spectra of $(A ₁, . . ., A_{k})$ and $(B ₁, . . ., B_{k})$ do not intersect, then this system of Sylvester equations has a unique simultaneous solution.

Single valued extension property and generalized Weyl’s theorem

M. Berkani, N. Castro, S. V. Djordjević (2006)

Mathematica Bohemica

Let $T$ be an operator acting on a Banach space $X$ , let $σ (T)$ and $σ_{B W} (T)$ be respectively the spectrum and the B-Weyl spectrum of $T$ . We say that $T$ satisfies the generalized Weyl’s theorem if $σ_{B W} (T) = σ (T) ∖ E (T)$ , where $E (T)$ is the set of all isolated eigenvalues of $T$ . The first goal of this paper is to show that if $T$ is an operator of topological uniform descent and $0$ is an accumulation point of the point spectrum of $T,$ then $T$ does not have the single valued extension property at $0$ , extending an earlier result of J. K. Finch and a...

Singular integral models for p-hyponormal operators and the Riemann-Hilbert problem

Muneo Chō, Tadasi Huruya, Masuo Itoh (1998)

Studia Mathematica

The purpose of this paper is to give singular integral models for p-hyponormal operators and apply them to the Riemann-Hilbert problem.

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Displaying 41 – 60 of 334

Shadow scattering by magnetic fields in two dimensions

Shapes and computer generation of numerical ranges of Krein space operators.

Sharp determinants.

Sharp estimates for the Ornstein-Uhlenbeck operator

Sharp maximal functions associated with approximations of the identity in spaces of homogeneous type and applications

Sharpened Forms of an Inequality of Von Neumann.

Shift invariant measures and simple spectrum

Similarity and compact perturbations of nest algebras.

Similarity of operators and geometry of eigenvector bundles.

Simultaneous solutions of operator Sylvester equations

Single valued extension property and generalized Weyl’s theorem

Singular integral models for p-hyponormal operators and the Riemann-Hilbert problem

Singular integral operators on manifolds with a boundary.

Singular sets and number of solutions of nonlinear boundary value problems

Singular supports. I.

Singular value decomposition normally estimated Geršgorin sets.

Singular values of trilinear forms.

Singularité des produits de Anzai associés aux fonctions caractéristiques d'un intervalle

Skew products in the centralizer of compact abelian group extensions.

Ski de fond

Currently displaying 41 – 60 of 334