We introduce the weak Hardy-Morrey spaces in this paper.We also obtain the atomic decompositions of the weak Hardy-Morrey spaces.By using these decompositions,we establish the Hardy inequalities on the weak Hardy-Morr...We introduce the weak Hardy-Morrey spaces in this paper.We also obtain the atomic decompositions of the weak Hardy-Morrey spaces.By using these decompositions,we establish the Hardy inequalities on the weak Hardy-Morrey spaces.展开更多
By minimizing the so-called relative energy,we show that there exists a family of locally minimizing smooth harmonic maps from asymptotically flat manifolds into the standard sphere.
The author obtains some weighted Hardy-type inequalities on H-type groups and anisotropic Heisenberg groups. These inequalities generalize some recent results due to N. Garofalo, E. Lanconelli, I. Kombe and P. Niu et al.
In this paper we present a Hardy type inequality and a Picone type identity for the real sub-Laplacian on the homogeneous group.The existence of the indefinite eigenvalue problem and the simplicity of the principal ei...In this paper we present a Hardy type inequality and a Picone type identity for the real sub-Laplacian on the homogeneous group.The existence of the indefinite eigenvalue problem and the simplicity of the principal eigenvalue are proved.展开更多
文摘We introduce the weak Hardy-Morrey spaces in this paper.We also obtain the atomic decompositions of the weak Hardy-Morrey spaces.By using these decompositions,we establish the Hardy inequalities on the weak Hardy-Morrey spaces.
文摘By minimizing the so-called relative energy,we show that there exists a family of locally minimizing smooth harmonic maps from asymptotically flat manifolds into the standard sphere.
基金the China State Scholarship (No. 2003833095)the Department of Education of Zhejiang Province (No. 20051495)
文摘The author obtains some weighted Hardy-type inequalities on H-type groups and anisotropic Heisenberg groups. These inequalities generalize some recent results due to N. Garofalo, E. Lanconelli, I. Kombe and P. Niu et al.
文摘In this paper we present a Hardy type inequality and a Picone type identity for the real sub-Laplacian on the homogeneous group.The existence of the indefinite eigenvalue problem and the simplicity of the principal eigenvalue are proved.
