Remarks on the Bohr Phenomenon

By Catherine Bénéteau, Anders Dahlner, Dmitry Khavinson. 2004

150 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/4b1aec4c0ec0344e39b1b2520b2f0fbbea95d7ea

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In Mathematical Physics

Citations in the corpus

The p-Bohr radius of a Banach space (2016, background): “Several authors (see [4,11,12,19,20,28]) have found some other extensions of Bohr’s estimate in different directions.”
Bohr phenomenon for certain subclasses of harmonic mappings (2020, background): “For more intriguing aspects of Bohr phenomenon we refer to [5, 11, 12, 19, 26, 31] and the references therein.”
On the Bohr inequality with a fixed zero coefficient (2019, result): “For certain recent results, we refer to [5, 6, 20].”
Bohr radius for certain classes of starlike and convex univalent functions (2020, background): “For more information about Bohr phenomenon stated above and further related intriguing aspects, we refer the reader to the articles (see [2, 3, 8, 9, 12, 25]).”
A note on Bohr's phenomenon for power series (2017, background): “For relevant references and interesting recent developments on the theme of Bohr’s phenomenon we refer to papers [12, 15,9,7].”
Bohr radius for subordinating families of analytic functions and bounded harmonic mappings (2014, methodology): “In [8], a characterization of appropriate norms was obtained that yielded the Bohr phenomenon for X.”
The Bohr inequality for ordinary Dirichlet series (2006, background): “Korenblum studied the case of the Hardy spaces Hp in one variable ([7] and [6]); and V.”
Improved version of Bohr's inequality (2018, background): “See, for example, [2,10], the recent survey on this topic by Abu-Muhanna et al.”
Bohr's phenomenon in subordination and bounded harmonic classes (2010, background): “Though H1 has Bohr’s phenomenon, it was shown [12] that Hardy spaces, H,14p40 do not have Bohr’s phenomenon.”