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Pluriharmonic functions on symmetric tube domains with BMO boundary values

Ewa Damek, Jacek Dziubański, Andrzej Hulanicki, Jose L. Torrea (2002)

Colloquium Mathematicae

Let 𝓓 be a symmetric Siegel domain of tube type and S be a solvable Lie group acting simply transitively on 𝓓. Assume that L is a real S-invariant second order operator that satisfies Hörmander's condition and annihilates holomorphic functions. Let H be the Laplace-Beltrami operator for the product of upper half planes imbedded in 𝓓. We prove that if F is an L-Poisson integral of a BMO function and HF = 0 then F is pluriharmonic. Some other related results are also considered.

Poincaré series and Kloosterman sums for SL(3, Z)

Daniel Bump, Solomon Friedberg, Dorian Goldfeld (1988)

Acta Arithmetica

Pointwise estimates for densities of stable semigroups of measures

Paweł Głowacki, Waldemar Hebisch (1993)

Studia Mathematica

Let $μ_{t}$ be a symmetric α-stable semigroup of probability measures on a homogeneous group N, where 0 < α < 2. Assume that $μ_{t}$ are absolutely continuous with respect to Haar measure and denote by $h_{t}$ the corresponding densities. We show that the estimate $h_{t} {(x) \leq t Ω (x / | x |) | x |}^{- n - α}$ , x≠0, holds true with some integrable function Ω on the unit sphere Σ if and only if the density of the Lévy measure of the semigroup belongs locally to the Zygmund class LlogL(N╲e). The problem turns out to be related to the properties of the maximal...

Prehomogeneous spaces associated with nilpotent orbits in simple real Lie algebras $E_{6 (6)}$ and $E_{6 (- 26)}$ and their relative invariants.

Jackson, Steven Glenn, Noël, Alfred G. (2006)

Experimental Mathematics

Displaying 1 – 13 of 13

Pluriharmonic functions on symmetric tube domains with BMO boundary values

Poincaré series and Kloosterman sums for SL(3, Z)

Pointwise estimates for densities of stable semigroups of measures

Pointwise estimates for the Poisson kernel on NA groups by the Ancona method

Poisson Integrals and Boundary Components of Symmetric Spaces.

Poisson kernels and pluriharmonic $H^{2}$ -functions on homogeneous Siegel domains.

Pompeiu Sets in Compact Heisenberg Manifolds.

Prehomogeneous spaces associated with nilpotent orbits in simple real Lie algebras $E_{6 (6)}$ and $E_{6 (- 26)}$ and their relative invariants.

Primitive Ideals and Orbital Integrals in Complex Classical Groups.

Progrès récents vers la classification du dual unitaire des groupes réductifs réels

Propagation des singularités sur des groupes de Lie nilpotents

Properties of centered random walks on locally compact groups and Lie groups.

Pseudodifferential Operators on SU(2).

Currently displaying 1 – 13 of 13