A note on coefficient multipliers and
Weighted sub-Bergman Hilbert spaces
We consider Hilbert spaces which are counterparts of the de Branges-Rovnyak spaces in the context of the weighted Bergman spaces A2α, −1 < α < ∞. These spaces have already been studied in [8], [7], [5] and [1]. We extend some results from these papers
Gauss curvature estimates for minimal graphs
Weighted sub-Bergman Hilbert spaces
We consider Hilbert spaces which are counterparts of the de Branges-Rovnyak spaces in the context of the weighted Bergman spaces , . These spaces have already been studied in [8], [7], [5] and [1]. We extend some results from these papers.
Gauss curvature estimates for minimal graphs
We estimate the Gauss curvature of nonparametric minimal surfaces over the two-slit plane at points above the interval .
Möbius invariant Besov spaces on the unit ball of C n
We give new characterizations of the analytic Besov spaces Bp on the unit ball B of Cn in terms of oscillations and integral means over some Euclidian balls contained in B.
Harmonic mappings onto parallel slit domains
We consider typically real harmonic univalent functions in the unit disk 𝔻 whose range is the complex plane slit along infinite intervals on each of the lines x ± ib, b > 0. They are obtained via the shear construction of conformal mappings of 𝔻 onto the plane without two or four half-lines symmetric with respect to the real axis.
Bounded Toeplitz and Hankel products on weighted Bergman spaces of the unit ball
We prove a sufficient condition for products of Toeplitz operators , where f,g are square integrable holomorphic functions in the unit ball in ℂⁿ, to be bounded on the weighted Bergman space. This condition slightly improves the result obtained by K. Stroethoff and D. Zheng. The analogous condition for boundedness of products of Hankel operators is also given.
Mobius invariant Besov spaces on the unit ball of
We give new characterizations of the analytic Besov spaces on the unit ball of in terms of oscillations and integral means over some Euclidian balls contained in .
On zeros of normal functions.
Bloch space on the unit ball of .
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