Zobrazeno 1 - 10 of 37 pro vyhledávání: '"Lev Aizenberg"'
2
Separation of singularities for holomorphic functions
Autor: Lev Aizenberg
Publikováno v: Analysis and Mathematical Physics. 4:13-21
The problem for separation of singularities for holomorphic functions is resolved for classes \(E^p\), \(1
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1961b3a6fbacbc7346a596d8a8f204ba
https://doi.org/10.1007/s13324-014-0070-4
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3
Duality for Hardy Spaces in Domains of $$\mathbb {C}^n$$ C n and Some Applications
Autor: Victor Gotlib, Alekos Vidras, Lev Aizenberg
Publikováno v: Complex Analysis and Operator Theory. 8:1341-1366
Let $$\Omega \subset \mathbb {C}^n $$ be a bounded, strictly convex domain with $${{\mathcal {C}}}^3$$ boundary and $$\widetilde{\Omega }$$ be its dual complement. We prove that $$(H^p(\Omega ))^{\prime }=H^q(\widetilde{\Omega })$$ , where $$p>1$$ an
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::56a6b319fa82b417472a6c69e5ef14c9
https://doi.org/10.1007/s11785-013-0337-z
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6
Remarks on the Bohr and Rogosinski phenomena for power series
Autor: Lev Aizenberg
Publikováno v: Analysis and Mathematical Physics. 2:69-78
The following problems are discussed in this work. 1. Asymptotics of the majorant function in the Reinhardt domains in \({\mathbb C^n}\). 2. The Bohr and Rogosinski radii for Hardy classes of functions holomorphic in the disk. 3. Neither Bohr nor Rog
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::861905f38881007478b6a4f2ec6d6345
https://doi.org/10.1007/s13324-012-0024-7
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9
Bohr and Rogosinski Abscissas for Ordinary Dirichlet Series
Autor: Lev Aizenberg, Alekos Vidras, Victor Gotlib
Publikováno v: Computational Methods and Function Theory. 9:65-74
We prove that the abscissas of Bohr and Rogosinski for ordinary Dirichlet series, mapping the right half-plane into the bounded convex domain $G\subset \mathbb{C} $ are independent of the domain $G$. Furthermore, we obtain new estimates about these a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c1c32422358ff9c4040ce6d457ca3dfc
https://doi.org/10.1007/bf03321715
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