Nguyên Viêt Anh (2002)
Publicacions Matemàtiques
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In this paper we develop the H(p ≥ 1) theory on the minimal ball. After identifying the admissible approach regions, we establish theorems of Fatou and Koráanyi-Vági type on this ball.
G. Kolesnik (1985)
Acta Arithmetica
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Annamaria Montanari, Daniele Morbidelli (2004)
Annales de l’institut Fourier
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We provide a structure theorem for Carnot-Carathéodory balls defined by a family of Lipschitz continuous vector fields. From this result a proof of Poincaré inequality follows.
Der-Chen Chang, Steven Krantz (1991)
Colloquium Mathematicae
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H. König, D. Lewis, P.-K. Lin (1983)
Studia Mathematica
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Marcelo Viana (1997)
Publications Mathématiques de l'IHÉS
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Gunther Schmidt (1995)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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The paper discusses new cubature formulas for classical integral operators of mathematical physics based on the «approximate approximation» of the density with Gaussian and related functions. We derive formulas for the cubature of harmonic, elastic and diffraction potentials approximating with high order in some range relevant for numerical computations. We prove error estimates and provide numerical results for the Newton potential.