In this note, we point out that a large family of n × n matrix valued kernel functions defined on the unit disc D ⊆ C, which were constructed recently in [9], behave like the familiar Bergman kernel function on D in several different ways. We show that a number of questions involving the multiplication operator on the corresponding Hilbert space of holomorphic functions on D can be answered usi...

unfortunately, we do not know how many perinatally (human immunodeficiency virus) hiv-infected pepole are living in contries today, while knowing these informations is necessary. unaids reports that there are 3.4 million children under 15 years of age with hiv and 2 million adolescents between 10 and 19 years of age. although the vast majority of children were perinatally infected, older childr...

In this paper we study the complete invariant metrics on CartanHartogs domains which are the special types of Hua domains. Firstly, we introduce a class of new complete invariant metrics on these domains, and prove that these metrics are equivalent to the Bergman metric. Secondly, the Ricci curvatures under these new metrics are bounded from above and below by the negative constants. Thirdly, w...

(Strictly speaking, one should put ( —1)"2/2 in front of £)'> but this is not essential in the following discussion.) Suppose F is ample in the following sense: (A.l). For every z in M, there exists an/ in F which does not vanish at 2. (A.2). For every holomorphic vector Z at z, there exists an/ in F such that / vanishes at z and Z(f *) ^0, where /=/ * dz1 A ■ ■ • Adzn with respect to a local c...

According to FUJITA (1957) and TAKUMA (1960), the structure of the dentinal tubule wall in human dentin has been studied by KOLLIKER, NEUMANN, WALKHOFF, FLEISCHMANN, HANAZAWA, MEYER and ORBAN. Recently, TAKUMA and TSUCHIKURA (1950) found by means of the electron microscope that the dentinal tubules were lined with a hypercalcified area, and designated it as peritubular hypercalcified matrix. Th...

Invasive aspergillosis (IA) are a major complication in immunocompromized patients where can be serious and rapidly fatal. Early diagnosis and early appropriate antifungal treatment is important in reducing mortality and morbidity. But despite many efforts to develop detection methods, the diagnosis of IA still remains challenging and current conventional methods are limited for adequate diagno...

In this paper, we characterize the boundedness and compactness of weighted composition operators ψCφf = ψfoφ acting between Bergman-type spaces.