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On the coefficients characterization of BMOA functions on the unit ball
Wulan, Hasi Korean Mathematical Society 1996 대한수학회보 Vol.33 No.4
Let B denote the unit ball in $C^n(n \geq 1)$, and $\upsilon$ the 2n-dimensional Lebesgue measure on B normalized so that $\upsilon(B) = 1$, while $\sigma$ is the normalized surface measure on the boundary S of B.
A PROBLEM FOR ANALYTIC FUNCTIONS OF BOUNDED AND VANISHING MEAN OSCILLATION
Wulan, Hasi Korean Mathematical Society 1998 대한수학회보 Vol.35 No.2
In this note we consider some characterizations of analytic functions of bounded and vanishing mean oscillation on the unit disk in $\mathbb{C}$ and answer a question about them in the negative.
ON THE COEFFICIENTS CHARACTERIZATION OF BMOA FUNCTIONS ON THE UNIT BALL
Hasi Wulan 대한수학회 1996 대한수학회보 Vol.33 No.4
Let B denote the unit ball in C^n(n≥1), and v the 2n-dimensional Lebesgue measure on B normalized so that v(B) = 1, While σ is the normalized surface measure on the boundary S of B.
Coefficient multipliers on Dirichlet type spaces
Dongxing Li,Hasi Wulan,Ruhan Zhao 대한수학회 2019 대한수학회보 Vol.56 No.3
We characterize coefficient multipliers from certain Dirichlet type spaces to Hardy spaces and weighted Bergman spaces.
COEFFICIENT MULTIPLIERS ON DIRICHLET TYPE SPACES
Li, Dongxing,Wulan, Hasi,Zhao, Ruhan Korean Mathematical Society 2019 대한수학회보 Vol.56 No.3
We characterize coefficient multipliers from certain Dirichlet type spaces to Hardy spaces and weighted Bergman spaces.
ON ABSOLUTE VALUES OF <sub>K</sub> FUNCTIONS
Bao, Guanlong,Lou, Zengjian,Qian, Ruishen,Wulan, Hasi Korean Mathematical Society 2016 대한수학회보 Vol.53 No.2
In this paper, the effect of absolute values on the behavior of functions f in the spaces $\mathcal{Q}_K$ is investigated. It is clear that $g{\in}\mathcal{Q}_K({\partial}{\mathbb{D}}){\Rightarrow}{\mid}g{\mid}{\in}\mathcal{Q}_K({\partial}{\mathbb{D}})$, but the converse is not always true. For f in the Hardy space $H^2$, we give a condition involving the modulus of the function only, such that the condition together with ${\mid}f{\mid}{\in}\mathcal{Q}_K({\partial}{\mathbb{D}})$ is equivalent to $f{\in}\mathcal{Q}_K$. As an application, a new criterion for inner-outer factorisation of $\mathcal{Q}_K$ spaces is given. These results are also new for $Q_p$ spaces.
On absolute values of ${\mathcal{Q}_K}$ functions
Guanlong Bao,Zengjian Lou,Ruishen Qian,Hasi Wulan 대한수학회 2016 대한수학회보 Vol.53 No.2
In this paper, the effect of absolute values on the behavior of functions $f$ in the spaces $\qk$ is investigated. It is clear that $g\in \qkt \Rightarrow |g|\in \qkt$, but the converse is not always true. For $f$ in the Hardy space $H^2$, we give a condition involving the modulus of the function only, such that the condition together with $|f|\in \qkt$ is equivalent to $f\in \qk$. As an application, a new criterion for inner-outer factorisation of $\qk$ spaces is given. These results are also new for $\qp$ spaces.