In this paper, first we put foward a Lattice measure space, then, discuss the relation between lattice measure space and classical measure space, and the integral of lattice measure space.
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In this paper, first we put foward a Lattice measure space, then, discuss the relation between lattice measure space and classical measure space, and the integral of lattice measure space.
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.
