Wyniki wyszukiwania

1

$L_p$-analyticity of Schrödinger semigroups on Riemannian manifolds

100%

Vogt H.

Banach Center Publications

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2003

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tom 60

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nr 1

73-80

2

Weighted norm estimates and $L_{p}$-spectral independence of linear operators

63%

Kunstmann P., Vogt H.

Colloquium Mathematicum

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2007

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tom 109

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nr 1

129-146

EN

We investigate the $L_{p}$-spectrum of linear operators defined consistently on $L_{p}(Ω)$ for p₀ ≤ p ≤ p₁, where (Ω,μ) is an arbitrary σ-finite measure space and 1 ≤ p₀ < p₁ ≤ ∞. We prove p-independence of the $L_{p}$-spectrum assuming weighted norm estimates. The assumptions are formulated in terms of a measurable semi-metric d on (Ω,μ); the balls with respect to this semi-metric are required to satisfy a subexponential volume growth condition. We show how previous results on $L_{p}$-spectral independence can be treated as special cases of our results and give examples-including strictly elliptic operators in Euclidean space and generators of semigroups that satisfy (generalized) Gaussian bounds-to indicate improvements.

3

Permanence of moment estimates for p-products of convex bodies

51%

Brehm U., Vogt H., Voigt J.

Studia Mathematica

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2002

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tom 150

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nr 3

243-260

EN

It is shown that two inequalities concerning second and fourth moments of isotropic normalized convex bodies in ℝⁿ are permanent under forming p-products. These inequalities are connected with a concentration of mass property as well as with a central limit property. An essential tool are certain monotonicity properties of the Γ-function.

Ograniczanie wyników

1 Banach Center Publications

1 Colloquium Mathematicum

1 Studia Mathematica

3 Vogt H.

1 Brehm U.

1 Kunstmann P.

1 Voigt J.

1 2007

1 2003

1 2002

$L_p$-analyticity of Schrödinger semigroups on Riemannian manifolds

Weighted norm estimates and $L_{p}$-spectral independence of linear operators

Permanence of moment estimates for p-products of convex bodies