2018/02/06 by Perumal Muthukumar, Muthukumar, Perumal, Saminathan Ponnusamy +3
Mathematics · #37C30 (Secondary) #47B33 #47B38 (Primary) 11M36 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:11M36 #msc:37C30 #msc:47B33 #msc:47B38
paper · pdf · doi:10.48550/arxiv.1802.01831
12 pages, one figure; To appear in Integral Equations and Operator Theory
arxiv created 2018/02/06 · arxiv updated 2018/02/07
By using the Schur test, we give some upper and lower estimates on the norm of a composition operator on H2, the space of Dirichlet series with square summable coefficients, for the inducing symbol φ(s)=c1+cqq-s where q≥ 2 is a fixed integer. We also give an estimate on the approximation numbers of such an operator.