On a class of composition operators on Bergman space.
Das, Namita, Lal, R.P., Mohapatra, C.K. (2007)
International Journal of Mathematics and Mathematical Sciences
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Das, Namita, Lal, R.P., Mohapatra, C.K. (2007)
International Journal of Mathematics and Mathematical Sciences
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Girela, Daniel, Peláez, José Ángel (2006)
Journal of Inequalities and Applications [electronic only]
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Karel Stroethoff (1997)
Banach Center Publications
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In this article we will illustrate how the Berezin transform (or symbol) can be used to study classes of operators on certain spaces of analytic functions, such as the Hardy space, the Bergman space and the Fock space. The article is organized according to the following outline. 1. Spaces of analytic functions 2. Definition and properties Berezin transform 3. Berezin transform and non-compact operators 4. Commutativity of Toeplitz operators 5. Berezin transform and Hankel or Toeplitz...
Girela, Daniel, Peláez, José Ángel (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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Chacón, Gerardo A., Chacón, Gerardo R., Giménez, José (2006)
Boletín de la Asociación Matemática Venezolana
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Matache, Valentin (2005)
Fixed Point Theory and Applications [electronic only]
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Wu, Pengcheng, Wulan, Hasi (2003)
International Journal of Mathematics and Mathematical Sciences
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Ewa Cygan, Piotr Tworzewski (1994)
Annales Polonici Mathematici
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We consider complex analytic sets with proper intersection. We find their regular separation exponent using basic notions of intersection multiplicity theory.
Aulaskari, R., Danikas, N., Zhao, R. (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
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Flavia Colonna (2013)
Open Mathematics
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Let ψ and φ be analytic functions on the open unit disk with φ() ⊆ . We give new characterizations of the bounded and compact weighted composition operators W ψ,ϕ from the Hardy spaces H p, 1 ≤ p ≤ ∞, the Bloch space B, the weighted Bergman spaces A αp, α > − 1,1 ≤ p < ∞, and the Dirichlet space to the Bloch space in terms of boundedness (respectively, convergence to 0) of the Bloch norms of W ψ,ϕ f for suitable collections of functions f in the respective spaces. We also...
C. Denson Hill, Geraldine Taiani (1978)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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