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Pluriharmonic functions on symmetric tube domains with BMO boundary values

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Damek E., Dziubański J., Hulanicki A., Torrea J.

Colloquium Mathematicum

2002

tom 94

nr 1

67-86

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.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Damek E.

1 Dziubański J.

1 Hulanicki A.

1 Torrea J.

1 2002

Wyniki wyszukiwania

Pluriharmonic functions on symmetric tube domains with BMO boundary values