منابع مشابه
Logarithmic Bloch Space and Its Predual
We consider the space B logα , of analytic functions on the unit disk D, defined by the requirement ∫ D |f (z)|φ(|z|) dA(z) < ∞, where φ(r) = log(1/(1 − r)) and show that it is a predual of the “log-Bloch” space and the dual of the corresponding little Bloch space. We prove that a function f(z) = ∑ ∞ n=0 anz with an ↓ 0 is in B1logα iff ∑ ∞ n=0 log(n+2)/(n+1) < ∞ and apply this to obtain a crit...
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We consider the valued field K := R((Γ)) of formal series (with real coefficients and monomials in a totally ordered multiplicative group Γ ). We investigate how to endow K with a logarithm l, which satisfies some natural properties such as commuting with infinite products of monomials. In [KM10], we studied derivations on K. Here, we investigate compatibility conditions between the logarithm a...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2014
ISSN: 0035-7596
DOI: 10.1216/rmj-2014-44-5-1669