Forelli-Rudin积分的帐篷嵌入与Qp到α-Bloch空间上的积分算子——纪念李国平院士吴新谋教授诞辰100周年

该文借助关于帐篷空间的嵌入定理与Carleson型测度特征刻画了复单位球上从Q_p空间到α-Bloch空间的广义Cesàro算子的有界性与紧性.     

Some inclusion theorems for absolute summability

In this work the inclusion relations between absolute summability domains of a normal matrix A and certain factorable matrices are described. Thus, some classes of factorable matrices transforming the absolute summability domain of A into a set of convergent or absolutely convergent series are characterized. As an application, the special case where A is the Cesàro matrix is considered.     

Factorization of Cesàro and Hilbert matrices based on generalized Cesàro matrix

ABSTRACT

In this paper, we introduce factorizations for the Hilbert and Cesàro matrices based on generalized Cesàro matrix and as the application, we generalize the Hardy's inequality versus Hilbert's.     

On the Libera operator

We show that the Libera operator, L, on some spaces of analytic functions is a continuous extension of the conjugate of the Cesàro operator. Results on L acting on various spaces are obtained. In particular, L maps the Bloch space into BMOA. We also prove some results on the best approximation by polynomials in Hardy and Bergman spaces.     

A condition under which slow oscillation of a sequence follows from Cesàro summability of its generator sequence

In this paper we retrieve slow oscillation of a real sequence from Cesàro summability of its generator sequence under some one-sided condition.     

B~α空间和Q_K空间之间的加权Cesro算子

讨论了B~α空间和Q_K空间之间的加权Cesro算子T_g的有界性,给出了B~α空间到Q_K空间的加权Cesro算子T_g有界的充要条件.另外也给出了Q_K空间到B~α空间的加权Cesro算子T_g有界的充要条件.     

On a Difference Matrix and Its Properties

In the present paper, a new difference matrix via difference operator D is introduced. Let x =(xk) be a sequence of real numbers, then the difference operator D is defined by D(x)n= ∑nk=0(-1)k(n n-k)xk, where n = 0, 1, 2, 3, ···. Several interesting properties of the new operator D are discussed.     

Extended Cesàro Operators between Different Bergman

In this paper, we obtain the characterizations onμ for (p, q) - φ Carleson measure,different weighted Bergman spaces as some application.