A note on new estimates for distances in analytic function spaces.
Products of integral-type and composition operators between generally weighted Bloch spaces.
Composition operators between generally weighted Bloch spaces and space.
Composition operators between generally weighted Bloch spaces of polydisk.
Convergence of Taylor series in Fock spaces
It is well known that the Taylor series of every function in the Fock space converges in norm when 1 < p < ∞. It is also known that this is no longer true when p = 1. In this note we consider the case 0 < p < 1 and show that the Taylor series of functions in do not necessarily converge “in norm”.
A construction of the Hom-Yetter-Drinfeld category
In continuation of our recent work about smash product Hom-Hopf algebras [Colloq. Math. 134 (2014)], we introduce the Hom-Yetter-Drinfeld category via the Radford biproduct Hom-Hopf algebra, and prove that Hom-Yetter-Drinfeld modules can provide solutions of the Hom-Yang-Baxter equation and is a pre-braided tensor category, where (H,β,S) is a Hom-Hopf algebra. Furthermore, we show that is a Radford biproduct Hom-Hopf algebra if and only if (A,α) is a Hom-Hopf algebra in the category . Finally,...
Convexities of Gaussian integral means and weighted integral means for analytic functions
We first show that the Gaussian integral means of (with respect to the area measure ) is a convex function of on when . We then prove that the weighted integral means and of the mixed area and the mixed length of and , respectively, also have the property of convexity in the case of . Finally, we show with examples that the range is the best possible.
Cobraided smash product Hom-Hopf algebras
Let (A,α) and (B,β) be two Hom-Hopf algebras. We construct a new class of Hom-Hopf algebras: R-smash products . Moreover, necessary and sufficient conditions for to be a cobraided Hom-Hopf algebra are given.
Descriptions of zero sets and parametric representations of certain analytic area Nevanlinna type classes in the unit disk
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