Let 0<p<1. In this paper we prove that the Bergman norm on the p-th Bergman space b^p(H) is equivalent to certain "normal direction norm" as well as certain "tangential direction norm", where...Let 0<p<1. In this paper we prove that the Bergman norm on the p-th Bergman space b^p(H) is equivalent to certain "normal direction norm" as well as certain "tangential direction norm", where H=R^n-1×R+ is the upper half space. As an application, we get the boundedness of harmonic conjugation operators on b%p (H).展开更多
We have constructed the positive definite metric matrixes for the bounded domains of R^n and proved an inequality which is about the Jacobi matrix of a harmonic mapping on a bounded domain of R^n and the metric matrix...We have constructed the positive definite metric matrixes for the bounded domains of R^n and proved an inequality which is about the Jacobi matrix of a harmonic mapping on a bounded domain of R^n and the metric matrix of the same bounded domain.展开更多
文摘Let 0<p<1. In this paper we prove that the Bergman norm on the p-th Bergman space b^p(H) is equivalent to certain "normal direction norm" as well as certain "tangential direction norm", where H=R^n-1×R+ is the upper half space. As an application, we get the boundedness of harmonic conjugation operators on b%p (H).
基金Supported by the Tianyuan Foundation(A0324609)Supported by the research grant, of Beijing Municipal Government
文摘We have constructed the positive definite metric matrixes for the bounded domains of R^n and proved an inequality which is about the Jacobi matrix of a harmonic mapping on a bounded domain of R^n and the metric matrix of the same bounded domain.
