Lipschitz continuity of densities of stable semigroups of measures

Paweł Głowacki

Displaying similar documents to “Lipschitz continuity of densities of stable semigroups of measures”

Smoothness of densities of semigroups of measures on homogeneous groups

Jacek Dziubański, Jacek Zienkiewicz (1993)

Colloquium Mathematicae

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Schwartz spaces associated with some non-differential convolution operators on homogeneous groups

Jacek Dziubański (1992)

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On semigroups generated by subelliptic operators on homogeneous groups

Jacek Dziubański (1993)

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Decomposition and disintegration of positive definite kernels on convex *-semigroups

Jan Stochel (1992)

Annales Polonici Mathematici

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The paper deals with operator-valued positive definite kernels on a convex *-semigroup whose Kolmogorov-Aronszajn type factorizations induce *-semigroups of bounded shift operators. Any such kernel Φ has a canonical decomposition into a degenerate and a nondegenerate part. In case is commutative, Φ can be disintegrated with respect to some tight positive operator-valued measure defined on the characters of if and only if Φ is nondegenerate. It is proved that a representing measure of...

On positive Rockland operators

Pascal Auscher, A. ter Elst, Derek Robinson (1994)

Colloquium Mathematicae

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Let G be a homogeneous Lie group with a left Haar measure dg and L the action of G as left translations on $L_{p} (G; d g)$ . Further, let H = dL(C) denote a homogeneous operator associated with L. If H is positive and hypoelliptic on $L_{2}$ we prove that it is closed on each of the $L_{p}$ -spaces, p ∈ 〈 1,∞〉, and that it generates a semigroup S with a smooth kernel K which, with its derivatives, satisfies Gaussian bounds. The semigroup is holomorphic in the open right half-plane on all the $L_{p}$ -spaces, p ∈ [1,∞]....

On the strong convergence to equilibrium of the Foiaş solutions of the transport equation

Jan Malczak (1992)

Annales Polonici Mathematici

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We define the Foiaş solutions of the transport equation and we prove that the strong asymptotic stability of the Foiaş solutions is equivalent to the asymptotic stability of the solutions of the transport equation in L¹.