The characterization of strictly parabolic spaces
Wilhelm Stoll (1981)
Compositio Mathematica
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Wilhelm Stoll (1981)
Compositio Mathematica
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Filippo Bracci (2004)
Bollettino dell'Unione Matematica Italiana
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This is a survey about local holomorphic dynamics, from Poincaré's times to nowadays. Some new ideas on how to relate discrete dynamics to continuous dynamics are also introduced. It is the text of the talk given by the author at the XVII UMI Congress at Milano.
Abate, Marco, Tovena, Francesca (2003)
Abstract and Applied Analysis
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Frédéric Le Roux (2008)
Fundamenta Mathematicae
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J.-M. Gambaudo and É. Pécou introduced the "linking property" in the study of the dynamics of germs of planar homeomorphisms in order to provide a new proof of Naishul's theorem. In this paper we prove that the negation of the Gambaudo-Pécou property characterizes the topological dynamics of holomorphic parabolic germs. As a consequence, a rotation set for germs of surface homeomorphisms around a fixed point can be defined, and it turns out to be non-trivial except for countably many...
Ferit Gurbuz (2016)
Open Mathematics
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In this paper, the author introduces parabolic generalized local Morrey spaces and gets the boundedness of a large class of parabolic rough operators on them. The author also establishes the parabolic local Campanato space estimates for their commutators on parabolic generalized local Morrey spaces. As its special cases, the corresponding results of parabolic sublinear operators with rough kernel and their commutators can be deduced, respectively. At last, parabolic Marcinkiewicz operator...
J. Murzewski, A. Sowa (1972)
Applicationes Mathematicae
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A. Wójcik (1980)
Annales Polonici Mathematici
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Filippo Chiarenza, Raul Serapioni (1985)
Rendiconti del Seminario Matematico della Università di Padova
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Robert Kaufman, Jang-Mei Wu (1988)
Compositio Mathematica
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P. Besala (1975)
Annales Polonici Mathematici
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