ACTA issues

Bohr phenomenon in weighted Hardy--Hilbert spaces

Yusuf Abu-Muhanna, Gajath Gunatillake

Acta Sci. Math. (Szeged) 78:3-4(2012), 517-528
44/2011

 Abstract. In this paper weighted Hardy spaces where the Bohr phenomenon occurs are classified and the Bohr radius is found in terms of the generating function. Next we discuss a {\it Bohr-like phenomenon} for spaces where the Bohr phenomenon does not occur. AMS Subject Classification (1991): 30E99 Keyword(s): Bohr phenomenon, Bohr radius, weighted Hardy spaces, generating functions Received September 10, 2011, and in final form September 15, 2012. (Registered under 44/2011.)