The Dugundji extension theorem and extension degree
Katsuya Eda (1995)
Colloquium Mathematicae
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Katsuya Eda (1995)
Colloquium Mathematicae
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Dalmasso, Robert (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Nils Dencker (2003)
Journées équations aux dérivées partielles
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We prove the Nirenberg-Treves conjecture : that for principal type pseudo-differential operators local solvability is equivalent to condition (). This condition rules out certain sign changes of the imaginary part of the principal symbol along the bicharacteristics of the real part. We obtain local solvability by proving a localizable estimate for the adjoint operator with a loss of two derivatives (compared with the elliptic case). The proof involves a new metric in the Weyl (or Beals-Fefferman)...
Adib Fadlalla (1996)
Banach Center Publications
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In this article, estimates of the hyperbolic and Carathéodory distances in domains , n ≥ 1, are obtained. They are equally valid for the Kobayashi distance.
Zhangjian Hu (1996)
Colloquium Mathematicae
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Addou, Idris, Wang, Shin-Hwa (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Akdim, Youssef, Azroul, Elhoussine, Rhoudaf, Mohamed (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Kot, Piotr (2002)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Latif, Naveed, Pečarić, J., Perić, I. (2011)
Annals of Functional Analysis (AFA) [electronic only]
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W. Królikowski (1991)
Annales Polonici Mathematici
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The concept of supercomplex structure is introduced in the pseudo-Euclidean Hurwitz pairs and its basic algebraic and geometric properties are described, e.g. a necessary and sufficient condition for the existence of such a structure is found.
Nishimura, Hirokazu (2004)
Beiträge zur Algebra und Geometrie
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Siegfried Momm (1996)
Annales Polonici Mathematici
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A certain linear growth of the pluricomplex Green function of a bounded convex domain of at a given boundary point is related to the existence of a certain plurisubharmonic function called a “plurisubharmonic saddle”. In view of classical results on the existence of angular derivatives of conformal mappings, for the case of a single complex variable, this allows us to deduce a criterion for the existence of subharmonic saddles.
Ali, Jaffar, Shivaji, R. (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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