Harmonic functions on the real hyperbolic ball I: Boundary values and atomic decomposition of Hardy spaces

• Autorzy: Philippe Jaming
• Języki publikacji: EN

Abstrakty

EN

We study harmonic functions for the Laplace-𝔹eltrami operator on the real hyperbolic space $𝔹_n$. We obtain necessary and sufficient conditions for these functions and their normal derivatives to have a boundary distribution. In doing so, we consider different behaviors of hyperbolic harmonic functions according to the parity of the dimension of the hyperbolic ball $𝔹_n$. We then study the Hardy spaces $H^p(𝔹_n)$, 0

Słowa kluczowe

EN

Hardy spaces; atomic decomposition; real hyperbolic ball; boundary values; harmonic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1999
• Tom: 80
• Numer: 1
• Strony: 63-82

Daty

wydano

1999

otrzymano

1998-08-25

Twórcy

autor

Philippe Jaming

• Département de Mathématiques, Faculté des Sciences, Université d'Orléans, BP 6759, F-45067 Orléans Cedex 2, France

Bibliografia

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