Hardy Spaces of Dirichlet Series and Their Composition Operators

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Hankel forms and sums of random variables (2006, background): “Bayart has proved this result [1, 2, 5]: for f in H(1)(K), and n = ∏ p nj j , (2.”
Composition operators on Hardy-Orlicz spaces (2006, unknown): “, and their weighted versions (see [42] for instance), Bloch spaces B and B0, BMOA and VMOA, Dirichlet spaces (see [1]), or some more general spaces as Nevanlinna or Smirnov classes: [8], [9], [17], [21]; see also [3], [4], [14] for composition operators on H p spaces of Dirichlet series, though the”
Approximation numbers of composition operators on $H^p$ spaces of Dirichlet series (2014, methodology): “In [2], it is proved that the vertical limit functions of f coincide with the functions fχ(s) := ∑∞ n=1 anχ(n)n, χ being a character.”
Multipliers of Dirichlet series and monomial series expansions of holomorphic functions in infinitely many variables (2014, background): “The first one is a Khinchine-Steinhaus type inequality for m-homogeneous polynomials on the n-dimensional torus T (see [3] and also [29]).”