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By using the Schur test, we give some upper and lower estimates on the norm of a composition operator on $$\mathcal {H}^2$$H2, the space of Dirichlet series with square summable… Click to show full abstract
By using the Schur test, we give some upper and lower estimates on the norm of a composition operator on $$\mathcal {H}^2$$H2, the space of Dirichlet series with square summable coefficients, for the inducing symbol $$\varphi (s)=c_1+c_{q}q^{-s}$$φ(s)=c1+cqq-s where $$q\ge 2$$q≥2 is a fixed integer. We also give an estimate on the approximation numbers of such an operator.
Keywords:
norm composition;
dirichlet;
space;
composition operator
Journal Title: Integral Equations and Operator Theory
Year Published: 2018
Link to full text (if available)
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Journal Title: Integral Equations and Operator Theory
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!