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In order to provide reference for quantifying and improving corporate governance efficiency, the DEA model was used to measure the input and output efficiency of a total of 776 listed companies in A-share market from 2012 to 2020. Then a comparative analysis of the governance efficiency at different corporate life stages was made from static and dynamic perspectives, and a regression analysis was conducted on factors influencing corporate governance efficiency via the Tobit model. The results are as follows: (1) A discrepancy can be found in main contribution sources of corporate governance efficiency in different stages as scale investment contributes to much of the governance efficiency of growing and declining enterprises while technical advancement features prominently in that of mature enterprises; (2) the total factor productivity of corporate governance increases progressively from the growing stage to the mature phase and then to the declining period, and the younger a company, the weaker its governance capacity; (3) the significance of factors influencing governance efficiency differs in different periods. This paper analyzes corporate governance in terms of the life cycle and deepens relevant research content.

China’s listed companies have different ownership characteristics and market environments from those of other countries and thus exhibit vastly different changes. From the existing corporate life cycle perspective, companies differ in their different development stages, which makes each factor’s effect dynamic. How to adjust the governance mechanism to the requirements of the company’s stage of development is an urgent issue in sustainable corporate governance. To address the above issues, we establish a semi-parametric quantile regression model to analyze the relationship between the ownership structure and corporate performance based on the data of listed companies on the Shanghai Stock Exchange between 2013 and 2021. Moreover, corporate governance measures taken at different stages of the corporate life cycle are discussed to see whether they effectively improve corporate governance. We conclude that there are non-linear effects of ownership structure while dynamic changes in corporate governance mechanisms exist. Companies should be concerned about the non-linear effects of ownership structures while considering the company’s life cycle and choosing appropriate governance measures. The results will help develop a sustainable development strategy to ensure that the company can improve its profitability and mitigate agency problems.

Let $$\mu $$ be a positive Borel measure on the interval [0,1). Suppose $${\mathcal {H}}_\mu $$ is the Hankel matrix $$(\mu _{n,k})_{n,k\ge 0}$$ with entries $$\mu _{n,k}=\mu _{n+k}$$ , where $$\mu _n=\int _{[0,1)}t^nd\mu (t)$$ . The matrix formally induces the operator $${\mathcal {H}}_\mu (f)(z)=\sum _{n=0}^{\infty }\big (\sum _{k=0}^{\infty }\mu _{n,k}a_k\big )z^n,$$ which has been widely studied in Bao and Wulan (J Math Anal Appl 409:228–235, 2014), Chatzifountas et al. (J Math Anal Appl 413:154–168, 2014), Galanopoulos and Pelaez (Stud Math 200:201–220, 2010) and Girela and Merchan (Banach J Math Anal 12:374-398, 2018). In this paper, we define the Derivative-Hilbert operator as $$\begin{aligned} \mathcal {DH}_{\mu }(f)(z)=\sum _{n=0}^{\infty } \left( \sum _{k=0}^{\infty } \mu _{n, k} a_{k}\right) (n+1)z^{n}. \end{aligned}$$ We mainly characterize the measures $$\mu $$ for which $$\mathcal {DH}_{\mu }$$ is a bounded (resp., compact) operator on the Bloch space $${\mathscr {B}}$$ . We also characterize those measures $$\mu $$ for which $$\mathcal {DH}_{\mu }$$ is a bounded (resp., compact) operator from the Bloch space $${\mathscr {B}}$$ into the Bergman space $$A^p$$ , $$1\le p

Let H μ be the Hankel matrix with entries μ n , k = ∫ [ 0 , 1 ) ( n + 1 ) t n + k d μ ( t ) , where μ is a positive Borel measure on the interval [0,1). The matrix acts on the space of all analytic functions in the unit disk by multiplication on Taylor coefficients and induces formally the operator DH μ ( f ) ( z ) = ∑ n = 0 ∞ ( ∑ k = 0 ∞ μ n , k a k ) z n , where f ( z ) = ∑ n = 0 ∞ a n z n is an analytic function in D . In this paper, we characterize the measures μ for which DH μ is a bounded (resp., compact) operator from the Bergman space A p ( 0 p ∞ ) into the space A q ( q ≥ p and q > 1 ), or from A p ( 0 p ≤ 1 ) into A 1 .

Let D = {z : |z| < 1} be the unit disk in the complex plane C, Φ : D → C is a analytic map. We study the multiplication operator M Φ on the logarithmic weighted BMOA space B M O A log = { g ∈ H ( D ) : sup ⁡ a ∈ D ( log ⁡ 2 1 − | a | 2 ) 2 ∫ D | g ′ ( z ) | 2 ( 1 − | φ a ( z ) | 2 ) d m ( z ) < ∞ } . We obtain that a sufficient condition for the operator M Φ to be a bounded operator on BMOA log. We also get that another necessary condition for the operator M Φ to be bounded on BMOA log.

We investigate the boundedness of some Volterra type operators between Zygmund type spaces. Then, we give the essential norms of such operators in terms of g,φ, their derivatives, and the nth power φn of φ.

In this note we show that if a function in a Q p space with 0 p 1 is invertible then it is cyclic with respect to the operator of multiplication by the identity function.

In this paper, we show that if a function \(f\) in the \(Q_p\) space with \(0

We characterize the boundedness and compactness of the weighted composition operator on the logarithmic Bloch space LB = {f 2 H(D) : supD(1 i |z| 2 )ln( 2 1i|z| )|f 0 (z)| < +1} and the little loga- rithmic Bloch space LB0. The results generalize the known corresponding results on the composition operator and the pointwise multiplier on the logarithmic Bloch space LB and the little logarithmic Bloch space LB0.

We characterize the boundedness and compactness of the weighted composition operator from the general function space F(p, q, s) into the logarithmic Bloch space on the unit disk. Some necessary and sufficient conditions are given for which is a bounded or a compact operator from F(p,q,s), (p,q,s) into , respectively.

In this note, we study the boundedness and compactness of integral operators $I_g$ and $T_g $ from analytic Morrey spaces to Bloch space. Furthermore, the norm and essential norm of those operators are given.

In this paper, given $0\lt p\lt \infty$, we define a logarithmic Hardy-Bloch type space \begin{multline*} BH_{p,L}=\left\{f(z)\in H(D):||f||_{p,L}\right.\\ \left.=\sup_{z\in D}(1-|z|)\log\frac{e}{1-|z|} M_p(|z|,f')\lt \infty\right\}. \end{multline*} Then we mainly study the relation between $BH_{p,L}$ and three classical spaces: Hardy space, Dirichlet type space and VMOA. We also obtain some estimates on the growth of $f\in BH_{p,L}$.

We characterize the boundedness and compactness of the weighted composition operator on the Zygmund spaceZ={f∈H(D):sup⁡z∈D(1-|z|2)|f″(z)|<∞}and the little Zygmund spaceZ0.

In this note we show that ƒ is cyclic in the little Zygmund space Z 0 = {ƒ ∈ H(D): lim |z|→1 −(1 − |z|2)|ƒ″(z)| = 0} if and only if ƒ has no zeros in the closed unit disc.

We give a new proof for the conjecture: if g is a cyclic vector in Dirichlet space and if |f(z)|⩾|g(z)| for all points, then f is cyclic.