Calderón-Zygmund operators and Poisson-like operators
J. Alvarez, M. Milman (1990)
Colloquium Mathematicae
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J. Alvarez, M. Milman (1990)
Colloquium Mathematicae
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Vaisman, I. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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Dimitri Gurevich, Pavel Saponov (2011)
Banach Center Publications
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We consider Poisson pencils, each generated by a linear Poisson-Lie bracket and a quadratic Poisson bracket corresponding to a so-called Reflection Equation Algebra. We show that any bracket from such a Poisson pencil (and consequently, the whole pencil) can be restricted to any generic leaf of the Poisson-Lie bracket. We realize a quantization of these Poisson pencils (restricted or not) in the framework of braided affine geometry. Also, we introduce super-analogs of all these Poisson...
Anders Olofsson (2004)
Studia Mathematica
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An operator-valued multi-variable Poisson type integral is studied. In Section 2 we obtain a new equivalent condition for the existence of a so-called regular unitary dilation of an n-tuple T=(T₁,...,Tₙ) of commuting contractions. Our development in Section 2 also contains a new proof of the classical dilation result of S. Brehmer, B. Sz.-Nagy and I. Halperin. In Section 3 we turn to the boundary behavior of this operator-valued Poisson integral. The results obtained in this section...
E.M. Stein (1983)
Inventiones mathematicae
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R. E. Lewkowicz (1988)
Colloquium Mathematicae
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Vadim A. Kaimanovich (1994)
Publications mathématiques et informatique de Rennes
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Mikami, Kentaro (1999)
Lobachevskii Journal of Mathematics
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Weihua Geng (2015)
Molecular Based Mathematical Biology
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Numerically solving the Poisson-Boltzmann equation is a challenging task due to the existence of the dielectric interface, singular partial charges representing the biomolecule, discontinuity of the electrostatic field, infinite simulation domains, etc. Boundary integral formulation of the Poisson-Boltzmann equation can circumvent these numerical challenges and meanwhile conveniently use the fast numerical algorithms and the latest high performance computers to achieve combined improvement...
Ali Abkar (2007)
Bollettino dell'Unione Matematica Italiana
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We first consider the biharmonic Poisson kernel for the unit disk, and study the boundary behavior of potentials associated to this kernel function. We shall then use some properties of the biharmonic Poisson kernel for the unit disk to compute the analogous biharmonic Poisson kernel for the upper half plane.
Alan Weinstein (2000)
Banach Center Publications
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Alex V. Kontorovich, Steven J. Miller (2005)
Acta Arithmetica
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Adam Korányi, Massimo A. Picardello (1986)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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